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A000280: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = a(n-2)^3+a(n-1) for n >= 3 | |
A000381: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = a(n-2)+a(n-1)-1 for n >= 3 | |
A000403: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(CatalanNumber(n-1),3^a(n-2)) for n >= 3 | |
A000655: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = 4 for n >= 4 | |
A000659: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = 2^a(n-1)+a(n-2) for n >= 3 | |
A000799: | |
a(n) = Floor(2^n*n^(-1)) | |
A000801: | |
a(1) = 2 | |
a(n) = Floor(2^n*n^(-1))+a(n-1) for n >= 2 | |
A000865: | |
a(1) = 1 | |
a(2) = 100 | |
a(n) = a(n-1)+1 for n >= 3 | |
A001438: | |
a(n) = Mod(n,Mod(2^n,10)!) | |
A001695: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = (-a(n-1)+a(n-2)!)^(n-1) for n >= 3 | |
A002270: | |
a(1) = 4 | |
a(n) = 1/6*a(n-1)*(a(n-1)-2)*(a(n-1)-1)+2 for n >= 2 | |
A002393: | |
a(1) = 1 | |
a(n) = -a(n-1)+15 for n >= 2 | |
A002488: | |
a(n) = (n-1)^Floor((n-1)^(n-1)) | |
A002489: | |
a(n) = Floor((n-1)^(n-1)^2) | |
A003135: | |
a(1) = 9 | |
a(n) = n^2+a(n-1)-3 for n >= 2 | |
A003223: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)*(a(n-2)+3) for n >= 3 | |
A003476: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = 2*a(n-3)+a(n-1) for n >= 4 | |
A003509: | |
a(1) = 2 | |
a(n) = -Mod(n-1,a(n-1))+n^2 for n >= 2 | |
A003829: | |
a(1) = 1 | |
a(n) = Mod(a(n-1),(n-1)!)+4 for n >= 2 | |
A003860: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Mod(n,a(n-2))+3 for n >= 3 | |
A003861: | |
a(1) = 1 | |
a(2) = 5 | |
a(3) = 5 | |
a(n) = Abs(-n+a(n-3))+a(n-1) for n >= 4 | |
A003869: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 4 | |
a(n) = Mod(a(n-3),4)+n-1 for n >= 4 | |
A003879: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Mod(2,a(n-2))+n for n >= 3 | |
A004031: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)!+a(n-1)+2 for n >= 3 | |
A004044: | |
a(1) = 1 | |
a(n) = Mod(a(n-1)!!+10,2^n) for n >= 2 | |
A004045: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = 4*a(n-2)-4 for n >= 3 | |
A004278: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = Mod(2,a(n-2))!+a(n-1) for n >= 3 | |
A004527: | |
a(1) = 1 | |
a(n) = a(n-1)*Floor(2/3*n) for n >= 2 | |
A004643: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 10*a(n-2) for n >= 3 | |
A004668: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 9 | |
a(n) = 11*a(n-3) for n >= 4 | |
A004669: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 9 | |
a(n) = 10*a(n-3) for n >= 4 | |
A004924: | |
a(1) = 0 | |
a(2) = 76 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004926: | |
a(1) = 0 | |
a(2) = 199 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004928: | |
a(1) = 0 | |
a(2) = 521 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004930: | |
a(1) = 0 | |
a(2) = 1364 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004932: | |
a(1) = 0 | |
a(2) = 3571 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004934: | |
a(1) = 0 | |
a(2) = 9349 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004945: | |
a(1) = 0 | |
a(2) = 123 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004946: | |
a(1) = 0 | |
a(2) = 199 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004947: | |
a(1) = 0 | |
a(2) = 322 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004948: | |
a(1) = 0 | |
a(2) = 521 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004949: | |
a(1) = 0 | |
a(2) = 843 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004950: | |
a(1) = 0 | |
a(2) = 1364 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004951: | |
a(1) = 0 | |
a(2) = 2207 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004952: | |
a(1) = 0 | |
a(2) = 3571 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004953: | |
a(1) = 0 | |
a(2) = 5778 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004954: | |
a(1) = 0 | |
a(2) = 9349 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004955: | |
a(1) = 0 | |
a(2) = 15127 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004963: | |
a(1) = 0 | |
a(2) = 47 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004965: | |
a(1) = 0 | |
a(2) = 123 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004967: | |
a(1) = 0 | |
a(2) = 322 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004971: | |
a(1) = 0 | |
a(2) = 2207 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A004973: | |
a(1) = 0 | |
a(2) = 5778 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A005052: | |
a(1) = 10 | |
a(n) = 3*a(n-1) for n >= 2 | |
A005433: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = -n+CatalanNumber(n)*a(n-2)^(-1)+1 for n >= 3 | |
A005456: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = n*Mod(a(n-3)!,a(n-2)) for n >= 4 | |
A005556: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = -Mod(a(n-2),3)+2*n for n >= 3 | |
A005604: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)!+a(n-1)! for n >= 3 | |
A005607: | |
a(n) = (n-1)!!! | |
A005781: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = -Floor(1/6*a(n-2))+2*n for n >= 3 | |
A005818: | |
a(n) = 2*n+Mod(3,2*n) | |
A005844: | |
a(1) = 3 | |
a(n) = 2^a(n-1)-1 for n >= 2 | |
A006091: | |
a(n) = n^n-n+1 | |
A006614: | |
a(1) = 14 | |
a(2) = 21 | |
a(3) = 26 | |
a(n) = 2*n+a(n-3)+10 for n >= 4 | |
A006788: | |
a(n) = Floor(2^n*(2*n)^(-1)) | |
A006946: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = Floor(1/3*2^n)+a(n-2) for n >= 3 | |
A007007: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Binomial(n,Mod(a(n-2)!!,n)) for n >= 3 | |
A007309: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 4 | |
a(n) = a(n-3)+a(n-2) for n >= 4 | |
A007339: | |
a(n) = -(n-1)^3+(n-1)! | |
A007362: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = -a(n-2)+Mod(2^n,6) for n >= 3 | |
A007685: | |
a(1) = 1 | |
a(n) = a(n-1)*n*CatalanNumber(n-1) for n >= 2 | |
A007945: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 0 | |
a(n) = -a(n-3)-2 for n >= 4 | |
A008553: | |
a(1) = 20 | |
a(n) = a(n-1)+1 for n >= 2 | |
A010037: | |
a(1) = 533360 | |
a(2) = 2502111 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A010332: | |
a(n) = Binomial(CatalanNumber(n^2)+6,n) | |
A010375: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)!,5)+n-1 for n >= 3 | |
A010791: | |
a(1) = 1 | |
a(n) = a(n-1)*(n^2-1) for n >= 2 | |
A010802: | |
a(n) = (n-1)^14 | |
A010803: | |
a(n) = (n-1)^15 | |
A010806: | |
a(n) = (n-1)^18 | |
A010808: | |
a(n) = (n-1)^20 | |
A010812: | |
a(n) = (n-1)^24 | |
A010813: | |
a(n) = (n-1)^25 | |
A010890: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 0 | |
a(n) = a(n-3)*Abs(a(n-2))-a(n-1) for n >= 4 | |
A010908: | |
a(1) = 4 | |
a(2) = 21 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A010919: | |
a(1) = 4 | |
a(2) = 13 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A010922: | |
a(1) = 14 | |
a(2) = 23 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A010926: | |
a(n) = Binomial(10,n-1) | |
A010927: | |
a(n) = Binomial(11,n-1) | |
A010928: | |
a(n) = Binomial(12,n-1) | |
A010929: | |
a(n) = Binomial(13,n-1) | |
A010930: | |
a(n) = Binomial(14,n-1) | |
A010931: | |
a(n) = Binomial(15,n-1) | |
A010932: | |
a(n) = Binomial(16,n-1) | |
A010934: | |
a(n) = Binomial(18,n-1) | |
A010936: | |
a(n) = Binomial(20,n-1) | |
A011632: | |
a(1) = 1 | |
a(2) = 0 | |
a(n) = -a(n-2) for n >= 3 | |
A011633: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = -a(n-3)-a(n-1)*a(n-2) for n >= 4 | |
A011761: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 5 | |
a(n) = a(n-3)+a(n-1) for n >= 4 | |
A011783: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = -a(n-2)+3*a(n-1) for n >= 3 | |
A011988: | |
a(n) = n^2+Mod((2*n)!!,n+1) | |
A011989: | |
a(1) = 1 | |
a(2) = 6 | |
a(n) = -Mod(6,a(n-2))+2^n for n >= 3 | |
A013575: | |
a(1) = 6 | |
a(2) = 13 | |
a(3) = 19 | |
a(n) = 6*Mod(n,a(n-3)) for n >= 4 | |
A013577: | |
a(1) = 17 | |
a(2) = 34 | |
a(n) = Mod(5,a(n-2))!!+a(n-1) for n >= 3 | |
A013660: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = n+a(n-2)+1 for n >= 3 | |
A013755: | |
a(1) = 196 | |
a(2) = 537824 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013766: | |
a(1) = 20 | |
a(2) = 160000 | |
a(3) = 1280000000 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013768: | |
a(1) = 21 | |
a(2) = 194481 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013770: | |
a(1) = 22 | |
a(2) = 234256 | |
a(3) = 2494357888 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013772: | |
a(1) = 23 | |
a(2) = 279841 | |
a(3) = 3404825447 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013773: | |
a(1) = 529 | |
a(2) = 6436343 | |
a(3) = 78310985281 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013774: | |
a(1) = 24 | |
a(2) = 331776 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013775: | |
a(1) = 576 | |
a(2) = 7962624 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013795: | |
a(1) = 1331 | |
a(2) = 19487171 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013796: | |
a(1) = 12 | |
a(2) = 248832 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013800: | |
a(1) = 14 | |
a(2) = 537824 | |
a(3) = 20661046784 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013802: | |
a(1) = 15 | |
a(2) = 759375 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013804: | |
a(1) = 16 | |
a(2) = 1048576 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013805: | |
a(1) = 4096 | |
a(2) = 268435456 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013807: | |
a(1) = 4913 | |
a(2) = 410338673 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013808: | |
a(1) = 18 | |
a(2) = 1889568 | |
a(3) = 198359290368 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013811: | |
a(1) = 6859 | |
a(2) = 893871739 | |
a(3) = 116490258898219 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013814: | |
a(1) = 21 | |
a(2) = 4084101 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013815: | |
a(1) = 9261 | |
a(2) = 1801088541 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013817: | |
a(1) = 10648 | |
a(2) = 2494357888 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013819: | |
a(1) = 12167 | |
a(2) = 3404825447 | |
a(3) = 952809757913927 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013820: | |
a(1) = 24 | |
a(2) = 7962624 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013821: | |
a(1) = 13824 | |
a(2) = 4586471424 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013838: | |
a(1) = 6 | |
a(n) = 7776*a(n-1) for n >= 2 | |
A013841: | |
a(1) = 1296 | |
a(n) = 7776*a(n-1) for n >= 2 | |
A013842: | |
a(1) = 7 | |
a(2) = 117649 | |
a(3) = 1977326743 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013843: | |
a(1) = 49 | |
a(2) = 823543 | |
a(3) = 13841287201 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013846: | |
a(1) = 8 | |
a(2) = 262144 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013847: | |
a(1) = 64 | |
a(2) = 2097152 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013848: | |
a(1) = 512 | |
a(2) = 16777216 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013849: | |
a(1) = 4096 | |
a(2) = 134217728 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013850: | |
a(1) = 9 | |
a(2) = 531441 | |
a(3) = 31381059609 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013854: | |
a(1) = 10 | |
a(2) = 1000000 | |
a(3) = 100000000000 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013856: | |
a(1) = 1000 | |
a(n) = 100000*a(n-1) for n >= 2 | |
A013857: | |
a(1) = 10000 | |
a(2) = 1000000000 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013860: | |
a(1) = 1331 | |
a(2) = 214358881 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013862: | |
a(1) = 12 | |
a(2) = 2985984 | |
a(3) = 743008370688 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013863: | |
a(1) = 144 | |
a(2) = 35831808 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013864: | |
a(1) = 1728 | |
a(2) = 429981696 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013865: | |
a(1) = 20736 | |
a(2) = 5159780352 | |
a(3) = 1283918464548864 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013869: | |
a(1) = 28561 | |
a(2) = 10604499373 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013870: | |
a(1) = 14 | |
a(2) = 7529536 | |
a(3) = 4049565169664 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013871: | |
a(1) = 196 | |
a(2) = 105413504 | |
a(3) = 56693912375296 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013872: | |
a(1) = 2744 | |
a(2) = 1475789056 | |
a(3) = 793714773254144 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013873: | |
a(1) = 38416 | |
a(2) = 20661046784 | |
a(3) = 11112006825558016 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013875: | |
a(1) = 225 | |
a(2) = 170859375 | |
a(3) = 129746337890625 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A013878: | |
a(1) = 16 | |
a(2) = 16777216 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013879: | |
a(1) = 256 | |
a(2) = 268435456 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A013880: | |
a(1) = 4096 | |
a(2) = 4294967296 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A014136: | |
a(n) = 36*(n^2)!! | |
A014222: | |
a(1) = 0 | |
a(n) = 3^a(n-1) for n >= 2 | |
A014225: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)!!+a(n-2)+a(n-1) for n >= 3 | |
A014290: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = -Mod(2*n,a(n-2)!!)+n^2 for n >= 3 | |
A014390: | |
a(1) = 1 | |
a(2) = 7 | |
a(3) = 49 | |
a(n) = a(n-3)-a(n-2)+a(n-1) for n >= 4 | |
A014590: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = Floor((a(n-3)+6)*n^(-1)) for n >= 4 | |
A016746: | |
a(n) = (2*n-2)^6 | |
A016750: | |
a(n) = (2*n-2)^10 | |
A016756: | |
a(n) = (2*n-1)^4 | |
A016757: | |
a(n) = (2*n-1)^5 | |
A016762: | |
a(n) = (2*n-1)^10 | |
A016767: | |
a(n) = (3*n-3)^3 | |
A016770: | |
a(n) = (3*n-3)^6 | |
A016792: | |
a(n) = (3*n-1)^4 | |
A016793: | |
a(n) = (3*n-1)^5 | |
A016794: | |
a(n) = (3*n-1)^6 | |
A016804: | |
a(n) = (4*n-4)^4 | |
A016805: | |
a(n) = (4*n-4)^5 | |
A016806: | |
a(n) = (4*n-4)^6 | |
A016810: | |
a(n) = (4*n-4)^10 | |
A016852: | |
a(n) = (5*n-5)^4 | |
A016853: | |
a(n) = (5*n-5)^5 | |
A016854: | |
a(n) = (5*n-5)^6 | |
A016910: | |
a(n) = (6*n-6)^2 | |
A016912: | |
a(n) = (6*n-6)^4 | |
A016914: | |
a(n) = (6*n-6)^6 | |
A016918: | |
a(n) = (6*n-6)^10 | |
A017017: | |
a(1) = 3 | |
a(n) = a(n-1)+7 for n >= 2 | |
A017041: | |
a(1) = 5 | |
a(n) = a(n-1)+7 for n >= 2 | |
A017053: | |
a(1) = 6 | |
a(n) = a(n-1)+7 for n >= 2 | |
A017149: | |
a(1) = 7 | |
a(n) = a(n-1)+8 for n >= 2 | |
A017185: | |
a(1) = 2 | |
a(n) = a(n-1)+9 for n >= 2 | |
A017209: | |
a(1) = 4 | |
a(n) = a(n-1)+9 for n >= 2 | |
A017221: | |
a(1) = 5 | |
a(n) = a(n-1)+9 for n >= 2 | |
A017233: | |
a(1) = 6 | |
a(n) = a(n-1)+9 for n >= 2 | |
A017270: | |
a(n) = (10*n-10)^2 | |
A017271: | |
a(n) = (10*n-10)^3 | |
A017272: | |
a(n) = (10*n-10)^4 | |
A017273: | |
a(n) = (10*n-10)^5 | |
A017274: | |
a(n) = (10*n-10)^6 | |
A017278: | |
a(n) = (10*n-10)^10 | |
A017401: | |
a(1) = 1 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017413: | |
a(1) = 2 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017425: | |
a(1) = 3 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017449: | |
a(1) = 5 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017461: | |
a(1) = 6 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017497: | |
a(1) = 9 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017509: | |
a(1) = 10 | |
a(n) = a(n-1)+11 for n >= 2 | |
A017569: | |
a(1) = 4 | |
a(n) = a(n-1)+12 for n >= 2 | |
A017910: | |
a(n) = Floor(2^(1/2*(n-1))) | |
A017913: | |
a(n) = Floor(3^(1/2*(n-1))) | |
A017919: | |
a(n) = Floor(5^(1/2*(n-1))) | |
A017922: | |
a(n) = Floor(6^(1/2*(n-1))) | |
A017979: | |
a(n) = Floor(2^(1/3*(n-1))) | |
A017982: | |
a(n) = Floor(3^(1/3*(n-1))) | |
A017985: | |
a(n) = Floor(4^(1/3*(n-1))) | |
A017988: | |
a(n) = Floor(5^(1/3*(n-1))) | |
A017991: | |
a(n) = Floor(6^(1/3*(n-1))) | |
A018048: | |
a(n) = Floor(2^(1/4*(n-1))) | |
A018051: | |
a(n) = Floor(3^(1/4*(n-1))) | |
A018057: | |
a(n) = Floor(5^(1/4*(n-1))) | |
A018060: | |
a(n) = Floor(6^(1/4*(n-1))) | |
A018072: | |
a(n) = Floor(10^(1/4*(n-1))) | |
A018117: | |
a(n) = Floor(2^(1/5*(n-1))) | |
A018120: | |
a(n) = Floor(3^(1/5*(n-1))) | |
A018123: | |
a(n) = Floor(4^(1/5*(n-1))) | |
A018126: | |
a(n) = Floor(5^(1/5*(n-1))) | |
A018129: | |
a(n) = Floor(6^(1/5*(n-1))) | |
A018141: | |
a(n) = Floor(10^(1/5*(n-1))) | |
A018260: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = n!!+n-a(n-2) for n >= 3 | |
A018262: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 5*a(n-2) for n >= 3 | |
A018264: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*a(n-2) for n >= 3 | |
A018272: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 5*a(n-2) for n >= 3 | |
A018281: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 7*a(n-2) for n >= 3 | |
A018283: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = 5*a(n-3) for n >= 4 | |
A018299: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = Floor(1/2*(2^n+a(n-3))) for n >= 4 | |
A018303: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 7*a(n-2) for n >= 3 | |
A018311: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*a(n-2) for n >= 3 | |
A018330: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = 7*a(n-3) for n >= 4 | |
A018351: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 11*a(n-2) for n >= 3 | |
A018353: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 7*a(n-2) for n >= 3 | |
A018356: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 5*a(n-2) for n >= 3 | |
A018400: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 13*a(n-2) for n >= 3 | |
A018413: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 11*a(n-2) for n >= 3 | |
A018421: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 5*a(n-2) for n >= 3 | |
A018480: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = 11*a(n-3) for n >= 4 | |
A018481: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*a(n-2) for n >= 3 | |
A018489: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = 5*a(n-3) for n >= 4 | |
A018492: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 13*a(n-2) for n >= 3 | |
A018545: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 11*a(n-2) for n >= 3 | |
A018587: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = 13*a(n-3) for n >= 4 | |
A018592: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 7*a(n-2) for n >= 3 | |
A018678: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 13*a(n-2) for n >= 3 | |
A018680: | |
a(1) = 1 | |
a(2) = 7 | |
a(n) = 11*a(n-2) for n >= 3 | |
A019303: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = Mod(a(n-1),a(n-2))+a(n-2) for n >= 3 | |
A019492: | |
a(1) = 4 | |
a(2) = 9 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A019495: | |
a(1) = 4 | |
a(2) = 11 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A019502: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*(n-1)!-a(n-2) for n >= 3 | |
A019514: | |
a(n) = (n-1)!^3+1 | |
A020329: | |
a(n) = CatalanNumber(2*n)^2+4 | |
A020549: | |
a(n) = (n-1)!^2+1 | |
A020576: | |
a(1) = 5 | |
a(n) = 2*a(n-1)+3 for n >= 2 | |
A020625: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = Mod(CatalanNumber(a(n-3)),2*n)+n+1 for n >= 4 | |
A020720: | |
a(1) = 7 | |
a(2) = 9 | |
a(3) = 12 | |
a(n) = a(n-3)+a(n-2) for n >= 4 | |
A020727: | |
a(1) = 2 | |
a(2) = 7 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A020728: | |
a(1) = 2 | |
a(2) = 9 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A020741: | |
a(1) = 6 | |
a(2) = 10 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A020747: | |
a(1) = 4 | |
a(2) = 6 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A020751: | |
a(1) = 6 | |
a(2) = 9 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A020752: | |
a(1) = 7 | |
a(2) = 10 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A020753: | |
a(n) = Floor(1/10*(n-1))+n | |
A020773: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = 0 for n >= 3 | |
A020793: | |
a(n) = Mod(3,2*n)! | |
A020821: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 5 | |
a(n) = 0 for n >= 4 | |
A021000: | |
a(1) = 2 | |
a(2) = 7 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A021015: | |
a(1) = 0 | |
a(2) = 9 | |
a(n) = a(n-2) for n >= 3 | |
A021019: | |
a(1) = 0 | |
a(n) = Binomial(6,a(n-1))+5 for n >= 2 | |
A021022: | |
a(1) = 0 | |
a(n) = Binomial(5,a(n-1))+4 for n >= 2 | |
A021037: | |
a(1) = 0 | |
a(2) = 3 | |
a(n) = a(n-2) for n >= 3 | |
A021040: | |
a(1) = 0 | |
a(2) = 2 | |
a(n) = 7 for n >= 3 | |
A021041: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 7 | |
a(n) = a(n-3) for n >= 4 | |
A021043: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 5 | |
a(n) = -a(n-3)+6 for n >= 4 | |
A021059: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 8 | |
a(n) = a(n-2)^a(n-3) for n >= 4 | |
A021067: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = -a(n-2)+a(n-1)+4 for n >= 3 | |
A021070: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 5 | |
a(n) = a(n-2)^a(n-3) for n >= 4 | |
A021081: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = -a(n-3)+9 for n >= 4 | |
A021095: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = -a(n-3)+9 for n >= 4 | |
A021105: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = -a(n-2)+9 for n >= 3 | |
A021112: | |
a(1) = 9 | |
a(2) = 2 | |
a(3) = 5 | |
a(n) = a(n-3) for n >= 4 | |
A021115: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 9 | |
a(n) = a(n-3) for n >= 4 | |
A021610: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = -a(n-2)+Mod(3,n)! for n >= 3 | |
A021697: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = -a(n-3)+4 for n >= 4 | |
A021862: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = -a(n-3)+Mod(3,n-1)! for n >= 4 | |
A022031: | |
a(1) = 4 | |
a(2) = 17 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A022032: | |
a(1) = 5 | |
a(2) = 26 | |
a(n) = Floor(a(n-1)*a(n-2)^(-1)*a(n-1)) for n >= 3 | |
A022034: | |
a(1) = 6 | |
a(2) = 31 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A022035: | |
a(1) = 6 | |
a(2) = 37 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A022036: | |
a(1) = 7 | |
a(2) = 43 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A022038: | |
a(1) = 8 | |
a(2) = 57 | |
a(n) = Floor(a(n-1)*a(n-1)*a(n-2)^(-1)) for n >= 3 | |
A022959: | |
a(1) = 3 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022960: | |
a(1) = 4 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022961: | |
a(1) = 5 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022962: | |
a(1) = 6 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022963: | |
a(1) = 7 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022964: | |
a(1) = 8 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022965: | |
a(1) = 9 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022966: | |
a(1) = 10 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022967: | |
a(1) = 11 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022968: | |
a(1) = 12 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022969: | |
a(1) = 13 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022970: | |
a(1) = 14 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022971: | |
a(1) = 15 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022972: | |
a(1) = 16 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022973: | |
a(1) = 17 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022974: | |
a(1) = 18 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022975: | |
a(1) = 19 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022976: | |
a(1) = 20 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022977: | |
a(1) = 21 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022978: | |
a(1) = 22 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022979: | |
a(1) = 23 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022980: | |
a(1) = 24 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022981: | |
a(1) = 25 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022982: | |
a(1) = 26 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022983: | |
a(1) = 27 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022984: | |
a(1) = 28 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022985: | |
a(1) = 29 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022986: | |
a(1) = 30 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022987: | |
a(1) = 31 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022988: | |
a(1) = 32 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022989: | |
a(1) = 33 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022990: | |
a(1) = 34 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022991: | |
a(1) = 35 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022992: | |
a(1) = 36 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022993: | |
a(1) = 37 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022994: | |
a(1) = 38 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022995: | |
a(1) = 39 | |
a(n) = a(n-1)-1 for n >= 2 | |
A022996: | |
a(1) = 40 | |
a(n) = a(n-1)-1 for n >= 2 | |
A023445: | |
a(1) = -3 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023446: | |
a(1) = -4 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023447: | |
a(1) = -5 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023448: | |
a(1) = -6 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023449: | |
a(1) = -7 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023450: | |
a(1) = -8 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023452: | |
a(1) = -10 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023453: | |
a(1) = -11 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023454: | |
a(1) = -12 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023455: | |
a(1) = -13 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023456: | |
a(1) = -14 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023457: | |
a(1) = -15 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023458: | |
a(1) = -16 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023459: | |
a(1) = -17 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023460: | |
a(1) = -18 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023461: | |
a(1) = -19 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023462: | |
a(1) = -20 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023463: | |
a(1) = -21 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023464: | |
a(1) = -22 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023465: | |
a(1) = -23 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023466: | |
a(1) = -24 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023467: | |
a(1) = -25 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023468: | |
a(1) = -26 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023469: | |
a(1) = -27 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023470: | |
a(1) = -28 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023471: | |
a(1) = -29 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023472: | |
a(1) = -30 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023473: | |
a(1) = -31 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023474: | |
a(1) = -32 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023475: | |
a(1) = -33 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023476: | |
a(1) = -34 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023477: | |
a(1) = -35 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023478: | |
a(1) = -36 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023479: | |
a(1) = -37 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023480: | |
a(1) = -38 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023481: | |
a(1) = -39 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023482: | |
a(1) = -40 | |
a(n) = a(n-1)+1 for n >= 2 | |
A023813: | |
a(n) = n^(1/2*n*(n+1)) | |
A024001: | |
a(n) = -(n-1)^3+1 | |
A024002: | |
a(n) = -(n-1)^4+1 | |
A024003: | |
a(n) = -(n-1)^5+1 | |
A024004: | |
a(n) = -(n-1)^6+1 | |
A024008: | |
a(n) = -(n-1)^10+1 | |
A024351: | |
a(1) = 5 | |
a(2) = 17 | |
a(3) = 29 | |
a(n) = a(n-3)+42 for n >= 4 | |
A025489: | |
a(n) = 2^n | |
A027440: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Floor(1/2*a(n-2))+n+1 for n >= 3 | |
A027673: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = 2*a(n-2)*n-n-1 for n >= 3 | |
A027983: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 2^n+a(n-2)+a(n-1) for n >= 3 | |
A028726: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = -Mod(2^n,a(n-2))+2*n for n >= 3 | |
A028738: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = a(n-3)+5 for n >= 4 | |
A029495: | |
a(1) = 1 | |
a(n) = CatalanNumber(a(n-1))*2^n+1 for n >= 2 | |
A029550: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = a(n-3)!*Mod(2^n,3) for n >= 4 | |
A029865: | |
a(1) = 0 | |
a(n) = Floor(n^2*(2*n+a(n-1))^(-1)) for n >= 2 | |
A029866: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = Floor(2^n*(n+a(n-3)+1)^(-1)) for n >= 4 | |
A030063: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = n*(a(n-2)+1)! for n >= 3 | |
A030198: | |
a(n) = (n-1)^n^4 | |
A030696: | |
a(1) = 5 | |
a(2) = 20 | |
a(3) = 14 | |
a(n) = 10*Mod(n,a(n-3)) for n >= 4 | |
A031193: | |
a(1) = 3 | |
a(n) = a(n-1)+3 for n >= 2 | |
A031401: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 4*Mod(a(n-2),4)! for n >= 3 | |
A032772: | |
a(n) = 5*n!!-5 | |
A033168: | |
a(1) = 199 | |
a(2) = 409 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A033329: | |
a(n) = Floor(9*n^(-1)) | |
A033330: | |
a(n) = Floor(10*n^(-1)) | |
A033331: | |
a(n) = Floor(11*n^(-1)) | |
A033332: | |
a(n) = Floor(12*n^(-1)) | |
A033333: | |
a(n) = Floor(13*n^(-1)) | |
A033334: | |
a(n) = Floor(14*n^(-1)) | |
A033335: | |
a(n) = Floor(15*n^(-1)) | |
A033336: | |
a(n) = Floor(16*n^(-1)) | |
A033338: | |
a(n) = Floor(18*n^(-1)) | |
A033340: | |
a(n) = Floor(20*n^(-1)) | |
A033342: | |
a(n) = Floor(45*(2*n)^(-1)) | |
A033344: | |
a(n) = Floor(24*n^(-1)) | |
A033345: | |
a(n) = Floor(25*n^(-1)) | |
A033347: | |
a(n) = Floor(27*n^(-1)) | |
A033350: | |
a(n) = Floor(30*n^(-1)) | |
A033352: | |
a(n) = Floor(32*n^(-1)) | |
A033356: | |
a(n) = Floor(36*n^(-1)) | |
A033360: | |
a(n) = Floor(40*n^(-1)) | |
A033365: | |
a(n) = Floor(45*n^(-1)) | |
A033370: | |
a(n) = Floor(50*n^(-1)) | |
A033380: | |
a(n) = Floor(60*n^(-1)) | |
A033382: | |
a(n) = Floor(125*(2*n)^(-1)) | |
A033384: | |
a(n) = Floor(64*n^(-1)) | |
A033401: | |
a(n) = Floor(81*n^(-1)) | |
A033420: | |
a(n) = Floor(100*n^(-1)) | |
A033421: | |
a(n) = Floor(1000*n^(-1)) | |
A033422: | |
a(n) = Floor(10000*n^(-1)) | |
A033426: | |
a(n) = Floor(1000000*n^(-1)) | |
A033427: | |
a(n) = Floor(100000*n^(-1)) | |
A033536: | |
a(n) = CatalanNumber(n-1)^3 | |
A034126: | |
a(n) = (n+1)^3+1 | |
A034797: | |
a(1) = 0 | |
a(n) = 2^a(n-1)+a(n-1) for n >= 2 | |
A035307: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = Mod(CatalanNumber(n+1),4)+a(n-2) for n >= 3 | |
A036218: | |
a(n) = Mod(n-1,24) | |
A036453: | |
a(n) = Mod(2,n+1)! | |
A036739: | |
a(n) = (n-1)!^(n-1)+1 | |
A036750: | |
a(1) = 3 | |
a(n) = a(n-1)*(-n+7) for n >= 2 | |
A036754: | |
a(1) = 3 | |
a(n) = a(n-1)*(-n+9) for n >= 2 | |
A038082: | |
a(n) = Binomial(2,Floor(1/5*(n+1))) | |
A038126: | |
a(1) = 0 | |
a(2) = 2 | |
a(n) = a(n-2)+5 for n >= 3 | |
A039749: | |
a(n) = Floor(2^n^(1/5*n)) | |
A040090: | |
a(1) = 10 | |
a(2) = 20 | |
a(n) = Mod(a(n-1),a(n-2)!) for n >= 3 | |
A044138: | |
a(1) = 49 | |
a(2) = 98 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044179: | |
a(1) = 41 | |
a(2) = 90 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044187: | |
a(1) = 64 | |
a(2) = 128 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044242: | |
a(1) = 55 | |
a(2) = 119 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044251: | |
a(1) = 81 | |
a(2) = 162 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044322: | |
a(1) = 71 | |
a(2) = 152 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044332: | |
a(1) = 100 | |
a(2) = 200 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044421: | |
a(1) = 89 | |
a(2) = 189 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044567: | |
a(1) = 48 | |
a(2) = 97 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044631: | |
a(1) = 63 | |
a(2) = 127 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044712: | |
a(1) = 80 | |
a(2) = 161 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A044812: | |
a(1) = 99 | |
a(2) = 199 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A046050: | |
a(1) = 79 | |
a(2) = 159 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A046882: | |
a(n) = (n-1)!^(n-1)! | |
A046967: | |
a(1) = 2 | |
a(n) = a(n-1)^(-1)*a(n-1)^(2*n) for n >= 2 | |
A047054: | |
a(1) = 1 | |
a(n) = a(n-1)*(5*n-5) for n >= 2 | |
A047334: | |
a(n) = Floor(1/6*(n+1))+n-1 | |
A047491: | |
a(1) = 4 | |
a(2) = 5 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047506: | |
a(1) = 4 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047525: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047526: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047528: | |
a(1) = 0 | |
a(2) = 3 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047529: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047531: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047533: | |
a(n) = -Mod(n,4)!!+2*n | |
A047536: | |
a(1) = 0 | |
a(2) = 4 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047543: | |
a(1) = 3 | |
a(2) = 4 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047552: | |
a(1) = 2 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047568: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = Mod(a(n-2),4)!!+a(n-1) for n >= 3 | |
A047574: | |
a(1) = 5 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047590: | |
a(1) = 0 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047591: | |
a(1) = 1 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047598: | |
a(1) = 3 | |
a(2) = 4 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047604: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047609: | |
a(1) = 0 | |
a(2) = 4 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047610: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047611: | |
a(1) = 2 | |
a(2) = 4 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047616: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047619: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 5 | |
a(n) = a(n-3)+8 for n >= 4 | |
A047677: | |
a(1) = 2 | |
a(n) = a(n-1)*n*(n-1) for n >= 2 | |
A047738: | |
a(1) = 179210312 | |
a(n) = a(n-1)+1 for n >= 2 | |
A048112: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-3)*(a(n-2)+a(n-1)) for n >= 4 | |
A048624: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = a(n-2)+2*a(n-1) for n >= 3 | |
A048872: | |
a(1) = 1 | |
a(n) = CatalanNumber(a(n-1))+n-1 for n >= 2 | |
A048873: | |
a(n) = Mod(2*n,CatalanNumber(n-1))+1 | |
A048972: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 5 | |
a(n) = Mod(2,a(n-3))!+n+1 for n >= 4 | |
A049013: | |
a(1) = 5 | |
a(n) = a(n-1)+2 for n >= 2 | |
A049071: | |
a(1) = 0 | |
a(2) = 3 | |
a(3) = -2 | |
a(n) = a(n-2) for n >= 4 | |
A049384: | |
a(1) = 1 | |
a(n) = (n-1)^a(n-1) for n >= 2 | |
A049624: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(a(n-2),a(n-1))+3 for n >= 3 | |
A050518: | |
a(1) = 583200 | |
a(2) = 1166400 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A050519: | |
a(1) = 30 | |
a(2) = 60 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A050924: | |
a(1) = 0 | |
a(n) = (a(n-1)+1)^a(n-1) for n >= 2 | |
A051191: | |
a(1) = 1 | |
a(n) = 4*a(n-1)^2 for n >= 2 | |
A051285: | |
a(1) = 2 | |
a(2) = 2 | |
a(n) = a(n-1)^a(n-2) for n >= 3 | |
A051637: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = (n-1)^2-a(n-2)! for n >= 3 | |
A051758: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 2 | |
a(n) = Floor(1/3*Binomial(n,a(n-3))) for n >= 4 | |
A052185: | |
a(n) = Floor(1/6*2^n)+n | |
A052289: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = 2*(n+a(n-2)+1) for n >= 3 | |
A053016: | |
a(1) = 4 | |
a(2) = 6 | |
a(n) = (n-1)!!+n+a(n-2)-1 for n >= 3 | |
A053637: | |
a(n) = Ceiling(1/2*2^n*n^(-1)) | |
A053654: | |
a(1) = 123456789 | |
a(2) = 246913578 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A053854: | |
a(n) = 3^(n-1)^n | |
A053863: | |
a(n) = 2^n^(2*n-2) | |
A054909: | |
a(n) = Floor(1/4*n^2)! | |
A054967: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 9 | |
a(n) = a(n-3)+10 for n >= 4 | |
A055057: | |
a(1) = 3 | |
a(n) = -Mod(10,a(n-1))+n^2 for n >= 2 | |
A056084: | |
a(1) = 1 | |
a(2) = 728 | |
a(3) = 730 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A056159: | |
a(n) = Floor(10^(n-1)*n^(-1)) | |
A056530: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 7 | |
a(n) = a(n-3)+12 for n >= 4 | |
A056865: | |
a(n) = Floor(1/10*(n-1)^2) | |
A057066: | |
a(n) = Floor(256*n^(-1)) | |
A057068: | |
a(n) = Floor(46656*n^(-1)) | |
A057072: | |
a(n) = Floor(10000000000*n^(-1)) | |
A057268: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = a(n-1)*(-a(n-2)+a(n-1)) for n >= 3 | |
A057580: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 2*a(n-2)+CatalanNumber(n-1) for n >= 3 | |
A058522: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-1)^a(n-2)+a(n-1) for n >= 3 | |
A058523: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)^a(n-1)+a(n-1) for n >= 3 | |
A058908: | |
a(1) = 5077 | |
a(2) = 9876548287 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A058918: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 2*a(n-2)+5 for n >= 3 | |
A059232: | |
a(1) = 1 | |
a(n) = n+a(n-1)^a(n-1) for n >= 2 | |
A059543: | |
a(n) = Floor(1/10*(n-1))+n | |
A059548: | |
a(n) = 2*n+Floor(1/10*(n-1)) | |
A059558: | |
a(1) = 4 | |
a(n) = a(n-1)+4 for n >= 2 | |
A059952: | |
a(1) = 27 | |
a(2) = 1 | |
a(n) = a(n-2)+1 for n >= 3 | |
A059953: | |
a(1) = 1 | |
a(2) = 27 | |
a(n) = a(n-2)+1 for n >= 3 | |
A060071: | |
a(n) = n^(n-1)-1 | |
A060728: | |
a(1) = 3 | |
a(2) = 4 | |
a(n) = -a(n-2)+CatalanNumber(n-1)+6 for n >= 3 | |
A060757: | |
a(n) = 4^(n-1)^(n-1) | |
A060758: | |
a(n) = 5^(n-1)^2 | |
A060806: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = n-a(n-2)+2 for n >= 3 | |
A060858: | |
a(1) = 0 | |
a(2) = 3 | |
a(3) = 0 | |
a(n) = n-1 for n >= 4 | |
A061103: | |
a(n) = (3*n-1)^3 | |
A061545: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 1 | |
a(n) = Binomial(2,a(n-3))^a(n-1) for n >= 4 | |
A061908: | |
a(1) = 1 | |
a(2) = 8 | |
a(n) = a(n-2)+9 for n >= 3 | |
A062173: | |
a(n) = 1/2*Mod(2^n,2*n) | |
A062175: | |
a(n) = Mod(4^(n-1),n) | |
A062545: | |
a(1) = 0 | |
a(n) = 2*n+1 for n >= 2 | |
A062605: | |
a(n) = n!!*(n+1)+1 | |
A062815: | |
a(1) = 1 | |
a(n) = n^(n+1)+a(n-1) for n >= 2 | |
A063120: | |
a(1) = 5 | |
a(2) = 18 | |
a(n) = CatalanNumber(Mod(4,a(n-2)))+a(n-1) for n >= 3 | |
A063128: | |
a(1) = 7 | |
a(2) = 30 | |
a(n) = Mod(4,a(n-2))!+a(n-1) for n >= 3 | |
A063134: | |
a(1) = 9 | |
a(2) = 32 | |
a(n) = Mod(4,a(n-2))!+a(n-1) for n >= 3 | |
A063148: | |
a(1) = 7 | |
a(2) = 30 | |
a(n) = Mod(4,a(n-2))!+a(n-1) for n >= 3 | |
A063150: | |
a(1) = 9 | |
a(2) = 30 | |
a(3) = 50 | |
a(n) = CatalanNumber(Mod(5,a(n-3)))+a(n-2) for n >= 4 | |
A063151: | |
a(1) = 7 | |
a(2) = 20 | |
a(n) = CatalanNumber(Mod(4,a(n-2)))+a(n-1) for n >= 3 | |
A063160: | |
a(1) = 10 | |
a(2) = 33 | |
a(n) = Mod(4,a(n-2))!+a(n-1) for n >= 3 | |
A063162: | |
a(1) = 11 | |
a(2) = 34 | |
a(n) = Mod(4,a(n-2))!+a(n-1) for n >= 3 | |
A063198: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 3 | |
a(n) = Abs(a(n-3)-a(n-2))+a(n-3) for n >= 4 | |
A063213: | |
a(1) = 1 | |
a(2) = 5 | |
a(3) = 9 | |
a(n) = a(n-3)+10 for n >= 4 | |
A063224: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = a(n-3)+4 for n >= 4 | |
A063241: | |
a(1) = 3 | |
a(2) = 5 | |
a(3) = 7 | |
a(n) = a(n-3)+10 for n >= 4 | |
A063551: | |
a(1) = 3 | |
a(2) = 7 | |
a(3) = 9 | |
a(n) = Mod(a(n-2),a(n-3))+a(n-1) for n >= 4 | |
A063728: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 6 | |
a(n) = a(n-1)*2^a(n-3) for n >= 4 | |
A063942: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = -1 | |
a(n) = a(n-3)+1 for n >= 4 | |
A064513: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = 3*n+a(n-2)-1 for n >= 3 | |
A064628: | |
a(n) = Floor((4/3)^(n-1)) | |
A064720: | |
a(n) = 2*n+Floor(1/10*(n-1)) | |
A064724: | |
a(n) = Floor(8/5*n) | |
A065535: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = -a(n-3)+Mod(n+1,3)! for n >= 4 | |
A065536: | |
a(1) = 1 | |
a(n) = Mod(CatalanNumber(a(n-1)),n^2)+1 for n >= 2 | |
A065565: | |
a(n) = Floor((5/4)^(n-1)) | |
A065993: | |
a(1) = 1 | |
a(n) = n^2^(n-1)-a(n-1) for n >= 2 | |
A066143: | |
a(n) = n^2-n+(n-1)! | |
A066269: | |
a(n) = CatalanNumber(n)+Binomial(2^n,2*n) | |
A066406: | |
a(1) = 0 | |
a(n) = 6*(2^n+a(n-1)) for n >= 2 | |
A066439: | |
a(n) = Mod(2^(3*n),n) | |
A066481: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 3 | |
a(n) = a(n-3)+2 for n >= 4 | |
A066587: | |
a(1) = 3 | |
a(2) = 5 | |
a(n) = a(n-2)+8 for n >= 3 | |
A066602: | |
a(n) = Mod(2^(2*n),n) | |
A066606: | |
a(n) = Mod(2^n,n^2) | |
A066615: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = Mod(CatalanNumber(a(n-3)),n+1)+a(n-1) for n >= 4 | |
A066642: | |
a(n) = Floor(n^(1/2*n)) | |
A067018: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 3 | |
a(n) = Mod(6*a(n-3)!!,4) for n >= 4 | |
A067039: | |
a(n) = n^(n-1)! | |
A067480: | |
a(1) = 2 | |
a(2) = 256 | |
a(3) = 2048 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A067484: | |
a(1) = 6 | |
a(2) = 60466176 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A067569: | |
a(1) = 0 | |
a(n) = Mod(CatalanNumber(n-1),6)+a(n-1) for n >= 2 | |
A067570: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = Floor(1/3*a(n-3))+n-1 for n >= 4 | |
A067839: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = a(n-2)+5 for n >= 3 | |
A068087: | |
a(n) = n^2^(n-1) | |
A068941: | |
a(1) = 1 | |
a(n) = -Floor(3*a(n-1)^(-1))+n^2 for n >= 2 | |
A068994: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = a(n-2)*2^a(n-2) for n >= 3 | |
A069469: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = n!!*a(n-2)^(-1) for n >= 3 | |
A069782: | |
a(n) = n | |
A070063: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Mod(a(n-2)*2^n,n^2) for n >= 3 | |
A070064: | |
a(1) = 8 | |
a(2) = 3 | |
a(3) = 1 | |
a(n) = Mod(CatalanNumber(a(n-3))^2,2*n) for n >= 4 | |
A070300: | |
a(1) = 4 | |
a(n) = a(n-1)+3 for n >= 2 | |
A070334: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 3 | |
a(n) = Floor(2^n*a(n-1)^(-1))+a(n-3) for n >= 4 | |
A070514: | |
a(n) = Mod((n-1)^4,10) | |
A070696: | |
a(n) = Mod(n-1,14) | |
A072249: | |
a(1) = 5 | |
a(2) = 7 | |
a(3) = 11 | |
a(n) = 2*n+a(n-3)+4 for n >= 4 | |
A072507: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 0 for n >= 3 | |
A073117: | |
a(1) = 1 | |
a(n) = Mod(a(n-1),n-1)+a(n-1) for n >= 2 | |
A073473: | |
a(1) = 1 | |
a(2) = 7 | |
a(3) = 13 | |
a(n) = a(n-3)+30 for n >= 4 | |
A073519: | |
a(1) = 1480028129 | |
a(2) = 1480028141 | |
a(3) = 1480028153 | |
a(n) = a(n-3)+30 for n >= 4 | |
A073608: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = -Floor(a(n-2)^(-1))+2*n for n >= 3 | |
A073825: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = a(n-2)*Mod(n!!,a(n-1)) for n >= 3 | |
A073859: | |
a(1) = 1 | |
a(n) = 6*n+a(n-1)-6 for n >= 2 | |
A073869: | |
a(1) = 0 | |
a(n) = Floor(n^2*(n+a(n-1)+1)^(-1)) for n >= 2 | |
A074099: | |
a(n) = Floor(2^n*(2*n)^(-1)) | |
A074116: | |
a(1) = 8 | |
a(2) = 64 | |
a(3) = 512 | |
a(n) = 1024*a(n-3) for n >= 4 | |
A074150: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 2*n+a(n-2)-4 for n >= 3 | |
A074227: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = a(n-3)+4 for n >= 4 | |
A074333: | |
a(1) = 1 | |
a(n) = a(n-1)^3+a(n-1) for n >= 2 | |
A075100: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = Mod(5,a(n-2)!)+n for n >= 3 | |
A075328: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = a(n-2)+5 for n >= 3 | |
A075849: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-1)!+a(n-2) for n >= 3 | |
A075883: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)!+a(n-1) for n >= 3 | |
A076032: | |
a(1) = 1 | |
a(n) = Floor(1/2*a(n-1))+n for n >= 2 | |
A076738: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 6 | |
a(n) = 9*a(n-3) for n >= 4 | |
A076781: | |
a(n) = 6^(n-1)^(n-1) | |
A076860: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = -Mod(a(n-2),n)+2^n for n >= 3 | |
A076862: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = CatalanNumber(n-1)+a(n-2)+2 for n >= 3 | |
A076921: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(a(n-2),a(n-1))+n-1 for n >= 3 | |
A076936: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = a(n-2)*Mod(2^n,6)!! for n >= 3 | |
A076939: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = 2*a(n-2) for n >= 3 | |
A077373: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A077461: | |
a(1) = 2 | |
a(2) = 14 | |
a(n) = -a(n-2)+6*a(n-1) for n >= 3 | |
A077869: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = -a(n-3)+a(n-1)+1 for n >= 4 | |
A077874: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = n-2*a(n-2) for n >= 3 | |
A077885: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = 2*a(n-3)+1 for n >= 4 | |
A077886: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = -2*a(n-3)+1 for n >= 4 | |
A077888: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = a(n-3)-a(n-2)+1 for n >= 4 | |
A077889: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = -a(n-3)-a(n-2)+1 for n >= 4 | |
A077963: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = -1 | |
a(n) = -2*a(n-3)-a(n-2) for n >= 4 | |
A077964: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = -2 | |
a(n) = 2*(a(n-3)-a(n-2)) for n >= 4 | |
A077967: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = -2 | |
a(n) = -a(n-3)-2*a(n-2) for n >= 4 | |
A077988: | |
a(1) = 1 | |
a(2) = -2 | |
a(3) = 4 | |
a(n) = 2*(a(n-3)-a(n-1)) for n >= 4 | |
A078000: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = 1/4*2^n-a(n-2) for n >= 3 | |
A078023: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 2 | |
a(n) = 2*(a(n-3)+a(n-2)) for n >= 4 | |
A078025: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 2 | |
a(n) = 2*(-a(n-3)+a(n-2)) for n >= 4 | |
A078028: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 1 | |
a(n) = -2*a(n-3)+a(n-2) for n >= 4 | |
A078029: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 0 | |
a(n) = 2*a(n-3) for n >= 4 | |
A078030: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = 0 | |
a(n) = (-2)*a(n-3) for n >= 4 | |
A078033: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = -1 | |
a(n) = -2*a(n-3)-a(n-2) for n >= 4 | |
A078034: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = -2 | |
a(n) = 2*(a(n-3)-a(n-2)) for n >= 4 | |
A078035: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = -2 | |
a(n) = a(n-3)-2*a(n-2) for n >= 4 | |
A078037: | |
a(1) = 1 | |
a(2) = -1 | |
a(3) = -2 | |
a(n) = (-2)*(a(n-3)+a(n-2)) for n >= 4 | |
A078044: | |
a(1) = 1 | |
a(2) = -2 | |
a(3) = 2 | |
a(n) = -2*a(n-3)-a(n-1) for n >= 4 | |
A078060: | |
a(1) = 1 | |
a(2) = -3 | |
a(3) = 6 | |
a(n) = 2*(a(n-3)-a(n-1)) for n >= 4 | |
A078139: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = 6*a(n-3)-a(n-1) for n >= 4 | |
A078589: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Abs(n+a(n-2)-a(n-1)-1) for n >= 3 | |
A078785: | |
a(1) = 4 | |
a(2) = 6 | |
a(n) = (n-1)!!+n+a(n-2)-1 for n >= 3 | |
A078836: | |
a(1) = 6 | |
a(2) = 14 | |
a(n) = 4*a(n-2)+2^n for n >= 3 | |
A079069: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-2)*a(n-3)+a(n-3) for n >= 4 | |
A079103: | |
a(n) = CatalanNumber(n)^2^(n-1) | |
A079242: | |
a(1) = 0 | |
a(n) = Mod(6,2*n)+a(n-1) for n >= 2 | |
A079243: | |
a(1) = 0 | |
a(n) = -a(n-1)!+n+1 for n >= 2 | |
A079377: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = -Mod(a(n-2),n-1)!!+2*n for n >= 3 | |
A079386: | |
a(n) = Mod((n^2)!!,CatalanNumber(2*n)) | |
A079509: | |
a(1) = 0 | |
a(n) = n+a(n-1) for n >= 2 | |
A079556: | |
a(1) = 2 | |
a(2) = 2 | |
a(n) = a(n-2)^a(n-1) for n >= 3 | |
A079685: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = a(n-3)!!*a(n-3)^(-1)+a(n-2) for n >= 4 | |
A079711: | |
a(n) = Binomial(2*n,n)^(2*n) | |
A079777: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)+a(n-1),n-1) for n >= 3 | |
A080513: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)+1 for n >= 3 | |
A080559: | |
a(n) = Binomial(12,n-1) | |
A080668: | |
a(n) = n*(n^2+(n-1)!) | |
A081359: | |
a(1) = 6 | |
a(2) = 7 | |
a(n) = n^2+Floor(6*a(n-2)^(-1)) for n >= 3 | |
A081516: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)+3 for n >= 3 | |
A081538: | |
a(n) = Binomial(4,Mod(6,n)) | |
A081734: | |
a(1) = 121174811 | |
a(2) = 121174841 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A081956: | |
a(1) = 2 | |
a(n) = 3*a(n-1)+2^n for n >= 2 | |
A081999: | |
a(n) = Mod(2*n+1,(n+1)!!) | |
A082463: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = Floor(1/5*a(n-3))+n for n >= 4 | |
A082482: | |
a(n) = Floor((2^n-1)*n^(-1)) | |
A082493: | |
a(n) = Mod((n-1)*2^n,n) | |
A082494: | |
a(n) = -Mod(2^n,n)+n | |
A082543: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = a(n-3)!!+a(n-2) for n >= 4 | |
A082727: | |
a(1) = 1 | |
a(n) = Abs(-n+2*a(n-1)+1) for n >= 2 | |
A082946: | |
a(1) = 111 | |
a(2) = 212 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A082960: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = -a(n-3)+Mod(n+1,3) for n >= 4 | |
A083298: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 25*a(n-2) for n >= 3 | |
A083462: | |
a(n) = -CatalanNumber(n-1)+2^n | |
A083505: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 2*n+Mod(2*n,a(n-2)) for n >= 3 | |
A083783: | |
a(n) = Mod(2*n,n^2)+n!! | |
A083802: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = Mod(n+1,a(n-3))!+a(n-2) for n >= 4 | |
A084100: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = -a(n-2)+Abs(a(n-2))-2 for n >= 3 | |
A084133: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = a(n-2)+6*a(n-1) for n >= 3 | |
A084180: | |
a(1) = 0 | |
a(n) = 4*a(n-1)+2 for n >= 2 | |
A084378: | |
a(n) = n^3+3 | |
A084381: | |
a(n) = n^3+5 | |
A084443: | |
a(n) = 5^(n-1)+6 | |
A084537: | |
a(1) = 1 | |
a(n) = 2*n+a(n-1)-4 for n >= 2 | |
A084689: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = Floor(1/5*a(n-3))+n-1 for n >= 4 | |
A085048: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 7 | |
a(n) = a(n-3)+11 for n >= 4 | |
A085481: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 3*(a(n-2)+a(n-1)) for n >= 3 | |
A085488: | |
a(1) = 2 | |
a(2) = 1 | |
a(n) = 4*a(n-2)+a(n-1) for n >= 3 | |
A085525: | |
a(n) = (n-1)^(2*n) | |
A085526: | |
a(n) = (n-1)^(2*n-1) | |
A085532: | |
a(n) = 2^n*(n-1)^n | |
A085535: | |
a(n) = (2*n)^(2*n-1) | |
A085805: | |
a(1) = 4 | |
a(n) = a(n-1)+16 for n >= 2 | |
A086388: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)+1 for n >= 3 | |
A086515: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = a(n-2)+6 for n >= 3 | |
A086746: | |
a(1) = 3018 | |
a(2) = 6036 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A086815: | |
a(n) = (n-1)*n^2^n | |
A087113: | |
a(n) = 2*n | |
A087114: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = Floor(1/2*a(n-2))+a(n-2) for n >= 3 | |
A087176: | |
a(1) = 5 | |
a(2) = 6 | |
a(3) = 9 | |
a(n) = Floor(a(n-2)^(-1)*a(n-3))+a(n-1) for n >= 4 | |
A088058: | |
a(1) = 1 | |
a(n) = n^4-a(n-1) for n >= 2 | |
A088059: | |
a(n) = n^2+n-1 | |
A088110: | |
a(1) = 0 | |
a(n) = (n-1)!+a(n-1) for n >= 2 | |
A088321: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-1)^4*a(n-2)^(-4) for n >= 3 | |
A088475: | |
a(1) = 10 | |
a(n) = a(n-1)+1 for n >= 2 | |
A088480: | |
a(n) = n | |
A089146: | |
a(1) = 4 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)!!,10) for n >= 3 | |
A089208: | |
a(n) = n^(3*n) | |
A089210: | |
a(n) = n^n^(n-1) | |
A089418: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = a(n-3)*Mod((n-1)!,5) for n >= 4 | |
A090555: | |
a(1) = 10 | |
a(n) = 2^Mod(a(n-1)!!,5) for n >= 2 | |
A090638: | |
a(1) = 0 | |
a(n) = Floor(n^2*(n+a(n-1)+1)^(-1)) for n >= 2 | |
A090650: | |
a(n) = n^(n+6) | |
A091130: | |
a(1) = 1 | |
a(2) = 0 | |
a(n) = 2*a(n-2)+CatalanNumber(n-1) for n >= 3 | |
A091720: | |
a(1) = 8 | |
a(2) = 34 | |
a(3) = 17 | |
a(n) = a(n-3) for n >= 4 | |
A091722: | |
a(1) = 4 | |
a(2) = 36 | |
a(3) = 55 | |
a(n) = a(n-3)-a(n-2)+a(n-1) for n >= 4 | |
A092253: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = Abs(a(n-3)-2)+n for n >= 4 | |
A092763: | |
a(n) = Floor(3^n*n^(-1)) | |
A093465: | |
a(1) = 4 | |
a(2) = 7 | |
a(n) = Floor(1/10*a(n-2))+10 for n >= 3 | |
A094042: | |
a(n) = -Ceiling(-19/10*n+1/10) | |
A094225: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = Mod(n^2,a(n-2)+4) for n >= 3 | |
A094284: | |
a(1) = 5 | |
a(2) = 3 | |
a(3) = 3 | |
a(n) = 2 for n >= 4 | |
A094859: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = CatalanNumber(a(n-2)-1)+n-1 for n >= 3 | |
A094969: | |
a(n) = Floor((5/2)^(n-1)) | |
A094974: | |
a(n) = Floor((5/3)^(n-1)) | |
A094977: | |
a(n) = Floor((10/3)^(n-1)) | |
A094979: | |
a(n) = Floor((5/4)^(n-1)) | |
A094983: | |
a(n) = Floor((6/5)^(n-1)) | |
A095028: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Mod(3,a(n-2))+n+1 for n >= 3 | |
A095029: | |
a(1) = 3 | |
a(2) = 6 | |
a(n) = 2*n+Mod(4,a(n-2)) for n >= 3 | |
A095031: | |
a(n) = Floor(1/6*n*(n+2)) | |
A095394: | |
a(n) = Floor(n^(n*(n+1)^(-1))) | |
A095764: | |
a(1) = 11 | |
a(2) = 12 | |
a(3) = 111 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A095937: | |
a(1) = 1 | |
a(n) = (n-1)^n+a(n-1) for n >= 2 | |
A095948: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 2*n+a(n-2)+2 for n >= 3 | |
A095949: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = Floor(1/6*a(n-3))+n+1 for n >= 4 | |
A096323: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = n-a(n-1)*a(n-3)^(-1) for n >= 4 | |
A096445: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = 2*a(n-3) for n >= 4 | |
A096534: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)+a(n-1),n) for n >= 3 | |
A096535: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)+a(n-1),n-1) for n >= 3 | |
A096582: | |
a(1) = 100 | |
a(n) = a(n-1)-1 for n >= 2 | |
A096621: | |
a(1) = 1 | |
a(n) = -a(n-1)+2^CatalanNumber(n-1) for n >= 2 | |
A097482: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Floor(1/3*a(n-2))+n+1 for n >= 3 | |
A097594: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = Mod(a(n-1),a(n-2))+a(n-2) for n >= 3 | |
A097658: | |
a(n) = 3*n^2-3 | |
A097802: | |
a(1) = 3 | |
a(2) = 78 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A097911: | |
a(n) = Mod(n-1,3)+n!! | |
A097989: | |
a(1) = 1 | |
a(n) = Abs(a(n-1)*(-n^2+a(n-1))) for n >= 2 | |
A098502: | |
a(1) = 12 | |
a(n) = a(n-1)+16 for n >= 2 | |
A098812: | |
a(1) = 1 | |
a(n) = Binomial(n!!,a(n-1)!) for n >= 2 | |
A098891: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = -n+(n+a(n-2))!!+1 for n >= 3 | |
A099150: | |
a(n) = 10^n-2 | |
A099465: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = 3 | |
a(n) = 3*(a(n-3)+a(n-2)) for n >= 4 | |
A099926: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = a(n-3)+2*a(n-2) for n >= 4 | |
A100401: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 9 | |
a(n) = a(n-1) for n >= 4 | |
A100403: | |
a(1) = 1 | |
a(n) = Mod(3,a(n-1))+6 for n >= 2 | |
A100409: | |
a(1) = 48 | |
a(2) = 68 | |
a(n) = Mod(10,a(n-2))+a(n-1) for n >= 3 | |
A100670: | |
a(1) = 210 | |
a(2) = 128 | |
a(3) = 132 | |
a(n) = a(n-2) for n >= 4 | |
A100776: | |
a(1) = 1009 | |
a(2) = 2006 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A100838: | |
a(n) = -n^2+(n+2)!! | |
A100874: | |
a(1) = 0 | |
a(n) = (n-1)!+a(n-1)-1 for n >= 2 | |
A100893: | |
a(1) = 2 | |
a(n) = 10*a(n-1)+3 for n >= 2 | |
A101407: | |
a(1) = 4 | |
a(n) = a(n-1)^(n-1) for n >= 2 | |
A101432: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = -Mod(2^n,a(n-3))+6 for n >= 4 | |
A101442: | |
a(1) = 10007 | |
a(2) = 19980 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A101524: | |
a(1) = 2 | |
a(n) = a(n-1)*(n+1)!+2 for n >= 2 | |
A101571: | |
a(n) = 10*CatalanNumber(n+1)+2 | |
A101846: | |
a(n) = 5*n-5 | |
A102040: | |
a(1) = 3 | |
a(n) = Mod(a(n-1),10)+a(n-1) for n >= 2 | |
A102041: | |
a(1) = 7 | |
a(n) = Mod(a(n-1),10)+a(n-1) for n >= 2 | |
A102439: | |
a(1) = 4 | |
a(2) = 104 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A102483: | |
a(1) = 0 | |
a(n) = Mod(10,CatalanNumber(a(n-1)))+n-1 for n >= 2 | |
A102603: | |
a(1) = 21 | |
a(2) = 45 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A102815: | |
a(1) = 11 | |
a(2) = 20 | |
a(n) = a(n-1)+1 for n >= 3 | |
A102846: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-1)*a(n-2)+2 for n >= 3 | |
A103214: | |
a(1) = 1 | |
a(2) = 25 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A103303: | |
a(n) = n-1 | |
A103526: | |
a(1) = 3 | |
a(n) = -a(n-1)+2^a(n-1) for n >= 2 | |
A103527: | |
a(1) = 2 | |
a(n) = 2^a(n-1)+a(n-1) for n >= 2 | |
A103562: | |
a(n) = (n+1)^n^(n-1) | |
A104340: | |
a(1) = 12 | |
a(n) = a(n-1)+11 for n >= 2 | |
A104373: | |
a(1) = 3 | |
a(2) = 4 | |
a(n) = -Mod(6,a(n-2))!+2*n for n >= 3 | |
A104435: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 2 for n >= 3 | |
A104436: | |
a(1) = 1 | |
a(2) = 15 | |
a(3) = 5 | |
a(n) = 4 for n >= 4 | |
A104437: | |
a(1) = 1 | |
a(2) = 105 | |
a(3) = 15 | |
a(n) = Floor(a(n-3)^(-1))+10 for n >= 4 | |
A104650: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = Mod(n+1,a(n-3))+5 for n >= 4 | |
A104661: | |
a(n) = n+1 | |
A105340: | |
a(1) = 0 | |
a(n) = n+a(n-1)-1 for n >= 2 | |
A105396: | |
a(1) = 3 | |
a(2) = 6 | |
a(3) = 6 | |
a(n) = a(n-3) for n >= 4 | |
A105675: | |
a(1) = 4 | |
a(2) = 4 | |
a(3) = 8 | |
a(n) = a(n-3)+4 for n >= 4 | |
A105676: | |
a(1) = 3 | |
a(2) = 3 | |
a(3) = 6 | |
a(n) = a(n-3)+3 for n >= 4 | |
A105677: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 3 | |
a(n) = Mod(a(n-2)!!,a(n-3))+a(n-1) for n >= 4 | |
A105734: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = (a(n-1)+1)*a(n-2)^(-1) for n >= 3 | |
A106842: | |
a(n) = (n^2-n+1)^(n-1) | |
A107432: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = Mod(10,a(n-2))+n+1 for n >= 3 | |
A107820: | |
a(1) = 3 | |
a(2) = 5 | |
a(n) = Mod(n-1,a(n-2))+6 for n >= 3 | |
A109095: | |
a(1) = 6 | |
a(2) = 10 | |
a(n) = Mod(n+1,a(n-2))! for n >= 3 | |
A109384: | |
a(1) = 32 | |
a(n) = 1/2*a(n-1)^2 for n >= 2 | |
A109678: | |
a(1) = 1 | |
a(n) = n^2+a(n-1) for n >= 2 | |
A109768: | |
a(n) = CatalanNumber(Mod(n^3,4)) | |
A110164: | |
a(1) = 1 | |
a(2) = -2 | |
a(3) = 3 | |
a(n) = a(n-1)*Floor(a(n-2)*a(n-3)^(-1)) for n >= 4 | |
A110452: | |
a(1) = 362880 | |
a(n) = a(n-1)*(n-1)^(-1) for n >= 2 | |
A110453: | |
a(1) = 362880 | |
a(n) = Floor(Factor(a(n-1)*(n-1)^(-2))) for n >= 2 | |
A110678: | |
a(1) = 72 | |
a(n) = -2*n+a(n-1)+2 for n >= 2 | |
A110867: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = Floor(a(n-2)*a(n-3)^(-1))+a(n-3) for n >= 4 | |
A110870: | |
a(1) = 2 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = a(n-3)+2 for n >= 4 | |
A111274: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*Mod(a(n-2)!!,10) for n >= 3 | |
A111386: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 5*a(n-2) for n >= 3 | |
A111706: | |
a(n) = -Mod(n,10)+2*n | |
A112346: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 3*a(n-2)+2 for n >= 3 | |
A112613: | |
a(1) = 1 | |
a(n) = n^2+a(n-1)!! for n >= 2 | |
A112655: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 12 | |
a(n) = a(n-3)+13 for n >= 4 | |
A112727: | |
a(n) = Mod(CatalanNumber(2*n),n+10) | |
A112819: | |
a(1) = 20 | |
a(2) = 24 | |
a(3) = 529 | |
a(n) = a(n-1)+1 for n >= 4 | |
A112821: | |
a(1) = 343 | |
a(n) = a(n-1)+1 for n >= 2 | |
A112871: | |
a(n) = CatalanNumber(Mod(2^n,CatalanNumber(n))) | |
A112983: | |
a(n) = Mod(2*2^n,n) | |
A113164: | |
a(n) = Binomial(6,n-1)^2 | |
A113491: | |
a(1) = 2 | |
a(2) = 12 | |
a(n) = Abs(-2*n+a(n-2)+5) for n >= 3 | |
A113606: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = 2^a(n-2)+a(n-1) for n >= 3 | |
A114020: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = a(n-2)!+a(n-1)! for n >= 3 | |
A114045: | |
a(1) = 0 | |
a(n) = a(n-1)!*(n-1) for n >= 2 | |
A114142: | |
a(n) = n+1 | |
A114143: | |
a(1) = 4 | |
a(n) = a(n-1)+1 for n >= 2 | |
A114181: | |
a(1) = 3 | |
a(2) = 9 | |
a(3) = 27 | |
a(n) = Mod(a(n-1),2*n-a(n-3)) for n >= 4 | |
A114514: | |
a(1) = 7 | |
a(2) = 8 | |
a(3) = 9 | |
a(n) = Mod(a(n-3)-3,a(n-3)) for n >= 4 | |
A114560: | |
a(1) = 1 | |
a(n) = 2^a(n-1)^a(n-1) for n >= 2 | |
A114637: | |
a(n) = Mod(n+1,2*n) | |
A114642: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)*2^a(n-1) for n >= 3 | |
A114965: | |
a(1) = 35 | |
a(n) = 2*n+a(n-1)-1 for n >= 2 | |
A115536: | |
a(1) = 160378 | |
a(2) = 169812 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A115562: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 0 | |
a(n) = a(n-2)*a(n-3) for n >= 4 | |
A116446: | |
a(1) = 4 | |
a(2) = 4 | |
a(n) = Mod(CatalanNumber(2*n),3)+a(n-2) for n >= 3 | |
A116453: | |
a(1) = 5 | |
a(2) = 9 | |
a(n) = a(n-1)*Mod(2,a(n-2)) for n >= 3 | |
A116944: | |
a(1) = 1 | |
a(n) = (a(n-1)+1)^n for n >= 2 | |
A118288: | |
a(1) = 7 | |
a(2) = 0 | |
a(n) = Mod(n+a(n-2)+1,n^2) for n >= 3 | |
A118332: | |
a(n) = (n-1)!!+n!! | |
A118417: | |
a(n) = 2*n*2^n-2^n | |
A118557: | |
a(1) = 1 | |
a(2) = 11 | |
a(3) = 11000 | |
a(n) = a(n-1)+1 for n >= 4 | |
A118640: | |
a(1) = 1 | |
a(2) = 6 | |
a(n) = 10*a(n-2)+6 for n >= 3 | |
A118759: | |
a(n) = n-1 | |
A118760: | |
a(n) = n-1 | |
A118771: | |
a(1) = 3 | |
a(n) = CatalanNumber(n+1)+a(n-1)+1 for n >= 2 | |
A119482: | |
a(1) = 80 | |
a(2) = 90 | |
a(3) = 200 | |
a(n) = a(n-1)+1 for n >= 4 | |
A119683: | |
a(1) = 1 | |
a(n) = 2*(CatalanNumber(n-1)+a(n-1)) for n >= 2 | |
A119719: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(n,4)+a(n-2) for n >= 3 | |
A120465: | |
a(1) = 1 | |
a(2) = 36 | |
a(3) = 204 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A121177: | |
a(1) = 0 | |
a(n) = 5*a(n-1)+2 for n >= 2 | |
A121194: | |
a(n) = CatalanNumber(n)*(n-1)! | |
A121234: | |
a(n) = Mod(CatalanNumber(2*n),(n+1)^(n-1)) | |
A121256: | |
a(1) = 2 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = a(n-1)*a(n-3)-1 for n >= 4 | |
A121340: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = a(n-3)^2 for n >= 4 | |
A121377: | |
a(1) = 48 | |
a(n) = a(n-1)+1 for n >= 2 | |
A121378: | |
a(1) = 240 | |
a(n) = a(n-1)+1 for n >= 2 | |
A121510: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-1)!!+a(n-2) for n >= 3 | |
A121603: | |
a(n) = Floor(1/10*(n+1))+n+1 | |
A121604: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = Floor(3*a(n-3)^(-1))+n for n >= 4 | |
A121702: | |
a(n) = 1/2*2^n^n^2 | |
A122026: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = a(n-3)*(n-1)+4 for n >= 4 | |
A122039: | |
a(n) = 2^n+n-2 | |
A122059: | |
a(1) = 1 | |
a(2) = 0 | |
a(n) = Mod(CatalanNumber(a(n-1))+a(n-2),n-1) for n >= 3 | |
A122064: | |
a(1) = 147 | |
a(2) = 144 | |
a(3) = 12 | |
a(n) = Floor(a(n-3)*(n+1)!!^(-1)) for n >= 4 | |
A122475: | |
a(1) = 155 | |
a(2) = 210 | |
a(n) = Mod(5,a(n-2))!!+a(n-1) for n >= 3 | |
A122916: | |
a(n) = Mod(3,2*n) | |
A122971: | |
a(n) = (n-1)^30 | |
A123120: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = Mod(a(n-3)!!,n-1)+a(n-1) for n >= 4 | |
A123182: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 2 | |
a(n) = Floor(6*n^(-1))+a(n-3) for n >= 4 | |
A123195: | |
a(1) = 5 | |
a(n) = CatalanNumber(n)*(n-1)+a(n-1) for n >= 2 | |
A123464: | |
a(1) = 1 | |
a(n) = 2*a(n-1) for n >= 2 | |
A123849: | |
a(1) = 1 | |
a(n) = Mod(10,CatalanNumber(n))+a(n-1) for n >= 2 | |
A123867: | |
a(n) = n^10-1 | |
A123868: | |
a(n) = n^12-1 | |
A123958: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = (-2)*(a(n-3)+a(n-2)) for n >= 4 | |
A124159: | |
a(1) = 8 | |
a(n) = Mod(n+1,a(n-1))+10 for n >= 2 | |
A124166: | |
a(1) = 0 | |
a(n) = 10^n+a(n-1) for n >= 2 | |
A124167: | |
a(n) = 10^n-10 | |
A124657: | |
a(n) = (n+3)! | |
A125620: | |
a(1) = 4 | |
a(n) = Mod((2*n)!!,5)+a(n-1) for n >= 2 | |
A125622: | |
a(1) = 2 | |
a(2) = 5 | |
a(n) = 2*n+a(n-2)+2 for n >= 3 | |
A125677: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(a(n-1),n-1)+a(n-2) for n >= 3 | |
A125925: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 1 | |
a(n) = Mod(n^2+a(n-3)!,3) for n >= 4 | |
A126423: | |
a(n) = n^4-n-1 | |
A126605: | |
a(n) = Mod(2^n,1000) | |
A126979: | |
a(1) = 233 | |
a(2) = 257 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A126980: | |
a(1) = 47 | |
a(n) = a(n-1)+14 for n >= 2 | |
A127081: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = 2^n+Mod(a(n-2)!!,3) for n >= 3 | |
A127500: | |
a(1) = 5 | |
a(2) = 9 | |
a(3) = 9 | |
a(n) = 2*n-a(n-3)+a(n-1) for n >= 4 | |
A127547: | |
a(1) = 4 | |
a(n) = a(n-1)+13 for n >= 2 | |
A127688: | |
a(n) = -(n-1)!!+n^(n-1) | |
A128037: | |
a(1) = 4 | |
a(2) = 4 | |
a(n) = 2*n+Mod(a(n-2),n-1) for n >= 3 | |
A128464: | |
a(1) = 11 | |
a(2) = 17 | |
a(3) = 29 | |
a(n) = a(n-3)+30 for n >= 4 | |
A128469: | |
a(1) = 29 | |
a(2) = 59 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A128473: | |
a(1) = 23 | |
a(2) = 53 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A129105: | |
a(1) = 8 | |
a(2) = 4 | |
a(n) = Mod(2^n+a(n-2),2*n) for n >= 3 | |
A129107: | |
a(1) = 4 | |
a(2) = 2 | |
a(n) = -Mod(a(n-2),n)+n for n >= 3 | |
A129254: | |
a(1) = 27 | |
a(2) = 80 | |
a(3) = 135 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A129794: | |
a(n) = Floor(2^(2*n)*n^(-1)) | |
A129795: | |
a(n) = Floor(5^n*n^(-1)) | |
A129796: | |
a(n) = Floor(6^n*n^(-1)) | |
A129798: | |
a(n) = Floor(2^n^3*n^(-1)) | |
A129923: | |
a(1) = 24 | |
a(n) = a(n-1)*(n+4) for n >= 2 | |
A130076: | |
a(n) = CatalanNumber(n-1)!!+n | |
A130427: | |
a(1) = 0 | |
a(2) = 10000000000 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A130431: | |
a(1) = 0 | |
a(2) = 10000000000 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A130446: | |
a(n) = n | |
A130509: | |
a(1) = 3 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = a(n-3)+3 for n >= 4 | |
A130543: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 0 | |
a(n) = Mod(a(n-3)!,n-3) for n >= 4 | |
A130727: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 2 | |
a(n) = a(n-3)+2 for n >= 4 | |
A130808: | |
a(1) = 17 | |
a(2) = 19 | |
a(n) = Floor(1/10*a(n-2))+a(n-1) for n >= 3 | |
A130816: | |
a(1) = 2 | |
a(2) = 2 | |
a(3) = 1 | |
a(n) = Floor(1/2*a(n-2))+a(n-3) for n >= 4 | |
A131452: | |
a(1) = 0 | |
a(2) = 2 | |
a(3) = 1 | |
a(n) = a(n-3)+4 for n >= 4 | |
A131473: | |
a(n) = (n-1)^6-n+1 | |
A131959: | |
a(n) = n!! | |
A132079: | |
a(1) = 2 | |
a(n) = 5*a(n-1)-6 for n >= 2 | |
A132086: | |
a(n) = n | |
A132293: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = n for n >= 3 | |
A132346: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-1)!!+Binomial(a(n-2),a(n-3)) for n >= 4 | |
A132414: | |
a(1) = -1 | |
a(2) = 0 | |
a(n) = n*CatalanNumber(Abs(a(n-2)))!! for n >= 3 | |
A132859: | |
a(1) = 0 | |
a(n) = (n-1)^a(n-1) for n >= 2 | |
A133337: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = 5*a(n-3) for n >= 4 | |
A133752: | |
a(1) = 1 | |
a(2) = 256 | |
a(n) = a(n-1)^2*a(n-2)^(-1) for n >= 3 | |
A133851: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = 0 | |
a(n) = 4*a(n-3) for n >= 4 | |
A134366: | |
a(n) = (n-1)!^(n-2) | |
A134367: | |
a(n) = (n-1)!^(n-3) | |
A134368: | |
a(n) = (2*n-2)!^n | |
A134369: | |
a(n) = (1/2*(2*n)!*n^(-1))^n | |
A134371: | |
a(n) = (2*n-2)!^(n-1) | |
A134372: | |
a(n) = (2*n-2)!^2 | |
A134373: | |
a(n) = (2*n-2)!^3 | |
A134496: | |
a(1) = 100 | |
a(2) = 110 | |
a(n) = a(n-1)+1 for n >= 3 | |
A134759: | |
a(n) = 2*n*CatalanNumber(n-1)-n | |
A134799: | |
a(1) = 1 | |
a(n) = 3*a(n-1)^3 for n >= 2 | |
A134916: | |
a(1) = 1 | |
a(n) = n*Mod(3,a(n-1))!! for n >= 2 | |
A134919: | |
a(n) = Floor(n^(5/3)) | |
A134923: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = (a(n-2)+a(n-1))^3 for n >= 3 | |
A134960: | |
a(1) = 0 | |
a(2) = 453060 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A135251: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Floor(1/2*a(n-2))+n for n >= 3 | |
A135403: | |
a(1) = 1 | |
a(2) = 111111 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A135408: | |
a(1) = 1 | |
a(n) = a(n-1)^a(n-1)+a(n-1) for n >= 2 | |
A135443: | |
a(1) = 2 | |
a(n) = 2*n+(2*n)!!*a(n-1)^(-1) for n >= 2 | |
A135444: | |
a(n) = 2^(n-1)!-1 | |
A135445: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Binomial(a(n-1),a(n-2))+a(n-1) for n >= 3 | |
A135600: | |
a(1) = 100 | |
a(n) = a(n-1)+1 for n >= 2 | |
A135639: | |
a(1) = 0 | |
a(2) = 839 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A135823: | |
a(1) = 21 | |
a(2) = 9261 | |
a(n) = a(n-2) for n >= 3 | |
A136602: | |
a(n) = n-1 | |
A136986: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)+10 for n >= 3 | |
A137002: | |
a(1) = 1 | |
a(n) = Binomial(4,n-1)+a(n-1) for n >= 2 | |
A137120: | |
a(1) = 6 | |
a(n) = 10*a(n-1)+6 for n >= 2 | |
A137146: | |
a(1) = 76 | |
a(n) = 10*a(n-1)+6 for n >= 2 | |
A137344: | |
a(1) = 3 | |
a(2) = 9 | |
a(n) = 4*a(n-2) for n >= 3 | |
A137353: | |
a(1) = 4 | |
a(2) = 6 | |
a(3) = 8 | |
a(n) = Mod(a(n-3),3)!+a(n-1) for n >= 4 | |
A138083: | |
a(n) = Floor(1/3*(n-1))+n-1 | |
A138161: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 2 | |
a(n) = Floor(1/2*a(n-3))+3 for n >= 4 | |
A138743: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Floor(2^n*Binomial(5,a(n-2))^(-1)) for n >= 3 | |
A139149: | |
a(1) = 2 | |
a(n) = a(n-1)*n-n+a(n-1) for n >= 2 | |
A139378: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 3 | |
a(n) = Mod(a(n-3)^(n+1),n+1) for n >= 4 | |
A139606: | |
a(1) = 6 | |
a(n) = a(n-1)+15 for n >= 2 | |
A139607: | |
a(1) = 7 | |
a(2) = 28 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139609: | |
a(1) = 9 | |
a(2) = 45 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139610: | |
a(1) = 10 | |
a(2) = 55 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139612: | |
a(1) = 12 | |
a(2) = 78 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139613: | |
a(1) = 13 | |
a(2) = 91 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139615: | |
a(1) = 15 | |
a(2) = 120 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139616: | |
a(1) = 16 | |
a(2) = 136 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139617: | |
a(1) = 17 | |
a(2) = 153 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139618: | |
a(1) = 18 | |
a(2) = 171 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139619: | |
a(1) = 19 | |
a(2) = 190 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139620: | |
a(1) = 20 | |
a(2) = 210 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A139622: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(10,n-a(n-2))! for n >= 3 | |
A139627: | |
a(1) = 1 | |
a(n) = n+a(n-1)-2 for n >= 2 | |
A139629: | |
a(1) = 1 | |
a(n) = -n+2^n+a(n-1)-1 for n >= 2 | |
A140438: | |
a(n) = Floor(1/10*(n-1))+1 | |
A140507: | |
a(1) = 5 | |
a(2) = 10 | |
a(3) = 11 | |
a(n) = Mod(n+1,a(n-3)!)+10 for n >= 4 | |
A140590: | |
a(1) = 3 | |
a(2) = 2 | |
a(n) = 4*a(n-2)-3 for n >= 3 | |
A140837: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = -a(n-2)+(n-1)!+1 for n >= 3 | |
A140839: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = n-a(n-1)*a(n-2)^(-1)-1 for n >= 3 | |
A140860: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = CatalanNumber(n-a(n-1))+a(n-2) for n >= 3 | |
A141016: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = a(n-3)+2*a(n-1) for n >= 4 | |
A141040: | |
a(1) = 1 | |
a(n) = (2*n)!!+a(n-1)-5 for n >= 2 | |
A141520: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-2)*(a(n-3)+a(n-1)) for n >= 4 | |
A142464: | |
a(1) = 3 | |
a(2) = 6 | |
a(n) = 1 for n >= 3 | |
A142471: | |
a(1) = 0 | |
a(2) = 0 | |
a(n) = a(n-1)*a(n-2)+2 for n >= 3 | |
A143036: | |
a(1) = 511 | |
a(2) = 1535 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A143754: | |
a(1) = 75 | |
a(2) = 49 | |
a(3) = 8 | |
a(n) = Floor(a(n-3)*(2^n-6)^(-1)) for n >= 4 | |
A144468: | |
a(1) = 0 | |
a(2) = 7 | |
a(3) = 4 | |
a(n) = Mod(a(n-3)+1,10) for n >= 4 | |
A144686: | |
a(1) = 4 | |
a(2) = 9 | |
a(n) = 5*a(n-2) for n >= 3 | |
A144964: | |
a(n) = 2^CatalanNumber(n)-1 | |
A145052: | |
a(1) = 3 | |
a(2) = 7 | |
a(3) = 11 | |
a(n) = 3*a(n-3)+6 for n >= 4 | |
A145385: | |
a(1) = 1 | |
a(n) = n^a(n-1)+a(n-1) for n >= 2 | |
A145441: | |
a(1) = 1 | |
a(n) = Mod(3,n)!!+a(n-1) for n >= 2 | |
A145583: | |
a(1) = 49 | |
a(n) = Floor(1/3*(n+a(n-1)-1)) for n >= 2 | |
A145584: | |
a(1) = 31 | |
a(n) = Floor(1/3*a(n-1)) for n >= 2 | |
A145595: | |
a(1) = 10 | |
a(n) = a(n-1)^(n-1) for n >= 2 | |
A145644: | |
a(1) = 1 | |
a(2) = 10 | |
a(3) = 100 | |
a(n) = a(n-3) for n >= 4 | |
A146890: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = Mod(a(n-2),a(n-2)!)+4 for n >= 3 | |
A146968: | |
a(1) = 4 | |
a(n) = n+a(n-1)-1 for n >= 2 | |
A147575: | |
a(1) = 9699690 | |
a(2) = 19399380 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A151342: | |
a(n) = CatalanNumber(n-1)^2 | |
A151819: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 0 | |
a(n) = Mod(CatalanNumber(n+1)^a(n-3),n-1) for n >= 4 | |
A152424: | |
a(1) = 2 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = Mod(2,a(n-3))!+n+1 for n >= 4 | |
A152582: | |
a(n) = 3^2^n+2 | |
A152623: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 0 for n >= 3 | |
A152624: | |
a(1) = 3 | |
a(2) = 5 | |
a(n) = 0 for n >= 3 | |
A152627: | |
a(1) = 7 | |
a(2) = 5 | |
a(n) = 0 for n >= 3 | |
A152817: | |
a(1) = 1 | |
a(n) = 8*n+a(n-1) for n >= 2 | |
A152839: | |
a(1) = 0 | |
a(n) = -a(n-1)!+(n-1)! for n >= 2 | |
A152929: | |
a(1) = 113 | |
a(2) = 176 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A153257: | |
a(n) = (n-1)^3-n^2 | |
A153647: | |
a(1) = 2 | |
a(n) = a(n-1)*(3*n+3) for n >= 2 | |
A154110: | |
a(n) = 3^(n^2+CatalanNumber(n^2)) | |
A154660: | |
a(n) = n+2 | |
A154664: | |
a(1) = 3 | |
a(n) = Mod(3,n-1)!+a(n-1) for n >= 2 | |
A154760: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(a(n-2)*(n-1),10) for n >= 3 | |
A155013: | |
a(n) = Floor(n^(5/2)) | |
A155499: | |
a(n) = n^(n+1)+n-1 | |
A155538: | |
a(1) = 115792089237316195423570985008687907853269984665640564039457584007913129639936 | |
a(n) = Floor(a(n-1)^(1/2)) for n >= 2 | |
A156189: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = 36*a(n-2) for n >= 3 | |
A156359: | |
a(1) = 1 | |
a(2) = 7 | |
a(3) = 196 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A156797: | |
a(1) = 22 | |
a(2) = 59 | |
a(3) = 103 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A156863: | |
a(1) = 1 | |
a(2) = 11 | |
a(3) = 484 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A157462: | |
a(1) = 1 | |
a(2) = 15 | |
a(3) = 900 | |
a(n) = a(n-1)*a(n-2)*a(n-3)^(-1) for n >= 4 | |
A157532: | |
a(1) = 2 | |
a(n) = 3 for n >= 2 | |
A157656: | |
a(n) = (n-1)^2+2 | |
A157989: | |
a(1) = 9 | |
a(n) = Mod(a(n-1),4)!+5 for n >= 2 | |
A158772: | |
a(1) = 21 | |
a(2) = 21 | |
a(3) = 21 | |
a(n) = 2*a(n-3) for n >= 4 | |
A158953: | |
a(1) = 12 | |
a(n) = a(n-1)+16 for n >= 2 | |
A159285: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 1 | |
a(n) = 2*a(n-3)+a(n-2) for n >= 4 | |
A159551: | |
a(1) = 10 | |
a(2) = 111 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A159991: | |
a(1) = 1 | |
a(n) = 60*a(n-1) for n >= 2 | |
A160138: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = Floor(1/2*(n+1))+a(n-3) for n >= 4 | |
A160540: | |
a(n) = -n+(n-1)!+1 | |
A160798: | |
a(1) = 1 | |
a(2) = 7 | |
a(n) = a(n-2)*Mod(a(n-1),n-1) for n >= 3 | |
A160805: | |
a(1) = 4 | |
a(n) = n^2+a(n-1)-2 for n >= 2 | |
A161211: | |
a(1) = 1 | |
a(n) = Mod(CatalanNumber(a(n-1)),n+1)+n-1 for n >= 2 | |
A161474: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 3 | |
a(n) = a(n-3)*n for n >= 4 | |
A161709: | |
a(1) = 1 | |
a(2) = 23 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A161714: | |
a(1) = 1 | |
a(2) = 29 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A161997: | |
a(1) = 20 | |
a(2) = 6 | |
a(n) = Mod(a(n-2),a(n-1))! for n >= 3 | |
A162185: | |
a(1) = 3 | |
a(n) = 2^a(n-1) for n >= 2 | |
A162570: | |
a(1) = 1 | |
a(n) = Mod(10,n-1)!!+a(n-1) for n >= 2 | |
A162627: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = 2*n-a(n-2)-1 for n >= 3 | |
A165024: | |
a(1) = 2 | |
a(2) = 2 | |
a(n) = 3 for n >= 3 | |
A165442: | |
a(1) = 20 | |
a(n) = 2*a(n-1)-2 for n >= 2 | |
A165498: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = Mod(a(n-2)!!!,10) for n >= 3 | |
A165814: | |
a(1) = 1 | |
a(n) = (a(n-1)-3)*(n-1) for n >= 2 | |
A165958: | |
a(1) = 0 | |
a(2) = 3 | |
a(3) = 2 | |
a(n) = Mod(3,n-1)!!+a(n-3) for n >= 4 | |
A166115: | |
a(n) = CatalanNumber(n)*2^n+2*n | |
A166731: | |
a(1) = 100 | |
a(2) = 200 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A166931: | |
a(1) = 2519 | |
a(2) = 5039 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A167176: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 8 | |
a(n) = a(n-3) for n >= 4 | |
A167436: | |
a(n) = n^2^n+1 | |
A168090: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = 2 | |
a(n) = 2*a(n-3) for n >= 4 | |
A168093: | |
a(1) = 3 | |
a(2) = 4 | |
a(3) = 5 | |
a(n) = Floor(1/4*a(n-3))+6 for n >= 4 | |
A168094: | |
a(1) = 4 | |
a(2) = 5 | |
a(3) = 6 | |
a(n) = Floor(6*a(n-3)^(-1))+a(n-1) for n >= 4 | |
A168096: | |
a(1) = 6 | |
a(2) = 7 | |
a(3) = 8 | |
a(n) = Floor(10*a(n-3)^(-1))+a(n-1) for n >= 4 | |
A168101: | |
a(1) = 3 | |
a(2) = 6 | |
a(n) = 5*Mod(n-1,a(n-2)) for n >= 3 | |
A168359: | |
a(n) = Mod(2*n,CatalanNumber(n))! | |
A168427: | |
a(1) = 1 | |
a(n) = 3*Mod(a(n-1),10) for n >= 2 | |
A168428: | |
a(1) = 1 | |
a(n) = Mod(6,a(n-1))+4 for n >= 2 | |
A168558: | |
a(1) = 0 | |
a(n) = n+a(n-1)^2 for n >= 2 | |
A168608: | |
a(1) = 4 | |
a(2) = 9 | |
a(n) = Mod(3,a(n-2))! for n >= 3 | |
A168650: | |
a(1) = 1000 | |
a(2) = 2000 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A168651: | |
a(1) = 10000 | |
a(2) = 20000 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A168652: | |
a(1) = 100000 | |
a(2) = 200000 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A169627: | |
a(n) = n^2-n+1 | |
A169823: | |
a(1) = 0 | |
a(2) = 60 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A169825: | |
a(1) = 0 | |
a(2) = 420 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A169827: | |
a(1) = 0 | |
a(2) = 840 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A169932: | |
a(n) = -Mod(n-1,10)+n-1 | |
A170807: | |
a(1) = 1 | |
a(n) = Floor(2^n*(2*n+a(n-1))^(-1)) for n >= 2 | |
A171397: | |
a(n) = Floor(1/10*(n-1))+n-1 | |
A171436: | |
a(1) = 586 | |
a(n) = -n+a(n-1)+5 for n >= 2 | |
A171449: | |
a(1) = -1 | |
a(n) = 2*Abs(a(n-1)) for n >= 2 | |
A171526: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = n for n >= 4 | |
A171604: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = Mod(-a(n-3)+CatalanNumber(n+1),5) for n >= 4 | |
A171893: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 10 | |
a(n) = a(n-1)+1 for n >= 4 | |
A171905: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 0 | |
a(n) = 1 for n >= 4 | |
A171908: | |
a(1) = 20 | |
a(2) = 30 | |
a(n) = Mod(10,a(n-2)-a(n-1)) for n >= 3 | |
A172334: | |
a(1) = 0 | |
a(2) = 5 | |
a(3) = 10 | |
a(n) = a(n-3)+16 for n >= 4 | |
A173036: | |
a(1) = 13 | |
a(n) = n+a(n-1)-1 for n >= 2 | |
A173068: | |
a(n) = 6*Floor(1/10*n) | |
A173094: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = a(n-1)*(a(n-2)-1) for n >= 3 | |
A173406: | |
a(1) = 15 | |
a(2) = 143 | |
a(3) = 527 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A173466: | |
a(1) = 1 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = -Mod(n^2,4)+a(n-3)! for n >= 4 | |
A173474: | |
a(n) = Mod(n,n^2) | |
A173512: | |
a(1) = 4 | |
a(2) = 13 | |
a(n) = a(n-2)+16 for n >= 3 | |
A173566: | |
a(1) = 2 | |
a(n) = a(n-1)^a(n-1) for n >= 2 | |
A173896: | |
a(1) = 27 | |
a(2) = 14 | |
a(n) = -Mod(a(n-2),n-1)+4 for n >= 3 | |
A174092: | |
a(1) = -83 | |
a(2) = -53 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A174296: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = Floor(4*n^(-1))+a(n-2) for n >= 3 | |
A174406: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 4 | |
a(n) = -Floor(a(n-3)^(-1))+2^n for n >= 4 | |
A174671: | |
a(1) = 808017424794512875886459904961710757005754368000000000 | |
a(n) = 1/6*a(n-1)*(n+1) for n >= 2 | |
A174677: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 2*a(n-1)*a(n-2) for n >= 3 | |
A175430: | |
a(1) = 2 | |
a(n) = a(n-1)*(n-1)*(n+1) for n >= 2 | |
A175977: | |
a(1) = 1 | |
a(n) = (n-1)^a(n-1)+1 for n >= 2 | |
A175978: | |
a(1) = 1 | |
a(n) = a(n-1)^(n-1)+1 for n >= 2 | |
A175979: | |
a(1) = 1 | |
a(n) = n^a(n-1)+1 for n >= 2 | |
A175980: | |
a(1) = 1 | |
a(n) = a(n-1)^n+1 for n >= 2 | |
A175981: | |
a(1) = 1 | |
a(n) = a(n-1)^(n-1)-1 for n >= 2 | |
A175982: | |
a(1) = 1 | |
a(n) = n^a(n-1)-1 for n >= 2 | |
A175988: | |
a(1) = 1 | |
a(n) = (a(n-1)-1)^n for n >= 2 | |
A175430: | |
a(n) = (n-1)!*(n+1)! | |
A175977: | |
a(1) = 1 | |
a(n) = (n-1)^a(n-1)+1 for n >= 2 | |
A175978: | |
a(1) = 1 | |
a(n) = a(n-1)^(n-1)+1 for n >= 2 | |
A175979: | |
a(1) = 1 | |
a(n) = n^a(n-1)+1 for n >= 2 | |
A175980: | |
a(1) = 1 | |
a(n) = a(n-1)^n+1 for n >= 2 | |
A175981: | |
a(1) = 1 | |
a(n) = a(n-1)^(n-1)-1 for n >= 2 | |
A175982: | |
a(1) = 1 | |
a(n) = n^a(n-1)-1 for n >= 2 | |
A175988: | |
a(1) = 1 | |
a(n) = (a(n-1)-1)^n for n >= 2 | |
A176595: | |
a(1) = 11 | |
a(2) = 121 | |
a(3) = 14641 | |
a(n) = a(n-2)*a(n-3)^6 for n >= 4 | |
A176596: | |
a(1) = 13 | |
a(2) = 169 | |
a(3) = 28561 | |
a(n) = a(n-3)^8 for n >= 4 | |
A176748: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = -a(n-2)+a(n-1)^3 for n >= 3 | |
A177022: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 6 | |
a(n) = 1 for n >= 4 | |
A177057: | |
a(n) = Mod(3,n+1)! | |
A177785: | |
a(1) = 3 | |
a(2) = 0 | |
a(n) = -a(n-2)+a(n-1)^2 for n >= 3 | |
A177876: | |
a(n) = Mod((2*n)!!,5) | |
A177949: | |
a(1) = 15685 | |
a(n) = a(n-1)+1 for n >= 2 | |
A178334: | |
a(1) = 0 | |
a(n) = a(n-1)! for n >= 2 | |
A178405: | |
a(1) = 11 | |
a(n) = a(n-1)+1 for n >= 2 | |
A178487: | |
a(n) = Floor((n-1)^(1/5)) | |
A178489: | |
a(n) = Floor((n-1)^(1/6)) | |
A178648: | |
a(n) = 3^(n-1)+4 | |
A178787: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = -Floor(1/10*a(n-2))+n for n >= 3 | |
A179477: | |
a(1) = 10 | |
a(n) = -n+10*a(n-1)+1 for n >= 2 | |
A179508: | |
a(1) = 2 | |
a(n) = -a(n-1)*n+n+a(n-1)+1 for n >= 2 | |
A180486: | |
a(1) = 5 | |
a(n) = a(n-1)+3 for n >= 2 | |
A180632: | |
a(1) = 0 | |
a(n) = (n-1)!+a(n-1) for n >= 2 | |
A180928: | |
a(1) = 0 | |
a(n) = 2^n+a(n-1)!!-4 for n >= 2 | |
A181440: | |
a(1) = 2 | |
a(2) = 1 | |
a(n) = n for n >= 3 | |
A182229: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = Floor(1/3*a(n-2))+a(n-1) for n >= 3 | |
A182230: | |
a(1) = 3 | |
a(2) = 4 | |
a(n) = Floor(1/4*a(n-2))+a(n-1) for n >= 3 | |
A182280: | |
a(1) = 3 | |
a(2) = 4 | |
a(n) = Floor(1/4*a(n-1))+a(n-2) for n >= 3 | |
A182281: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = Floor(1/3*a(n-1))+a(n-2) for n >= 3 | |
A182305: | |
a(1) = 4 | |
a(n) = Floor(1/4*a(n-1))+a(n-1) for n >= 2 | |
A182306: | |
a(1) = 5 | |
a(n) = Floor(1/5*a(n-1))+a(n-1) for n >= 2 | |
A182307: | |
a(1) = 6 | |
a(n) = Floor(1/6*a(n-1))+a(n-1) for n >= 2 | |
A182363: | |
a(1) = 10 | |
a(n) = Floor(1/10*a(n-1))+a(n-1) for n >= 2 | |
A182409: | |
a(1) = -1583 | |
a(n) = 8*n+a(n-1) for n >= 2 | |
A182444: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(a(n-2),n-1)+a(n-1) for n >= 3 | |
A182445: | |
a(1) = 0 | |
a(2) = 1 | |
a(n) = Mod(a(n-1),n-1)+a(n-2) for n >= 3 | |
A183193: | |
a(1) = 2 | |
a(2) = 4 | |
a(3) = 2 | |
a(n) = Mod(n,a(n-3))+a(n-1) for n >= 4 | |
A183199: | |
a(n) = n^2+2 | |
A184959: | |
a(1) = 10 | |
a(2) = 9 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A184978: | |
a(n) = 2*n+Floor(1/3*(n-1)) | |
A185012: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = 0 for n >= 4 | |
A185092: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = (a(n-2)-1)!+a(n-1) for n >= 3 | |
A185178: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = 1/2*(n-2)*(n-1)+a(n-2)!! for n >= 3 | |
A185603: | |
a(n) = Floor(n^(5/4)) | |
A185691: | |
a(1) = 10 | |
a(2) = 21 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A186313: | |
a(n) = -Ceiling(8*(n+1)^(-1))+4 | |
A186355: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = n+a(n-3)+2 for n >= 4 | |
A186357: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = n+a(n-3)+2 for n >= 4 | |
A186420: | |
a(n) = n^4*CatalanNumber(n-1)^4 | |
A186498: | |
a(1) = 2 | |
a(2) = 3 | |
a(3) = 5 | |
a(n) = n+a(n-3)+2 for n >= 4 | |
A187679: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 3 | |
a(n) = Floor(1/4*n^2-a(n-3)) for n >= 4 | |
A187879: | |
a(n) = 3^(n-1)^3 | |
A188545: | |
a(1) = 1 | |
a(n) = a(n-1)*n+1 for n >= 2 | |
A188914: | |
a(n) = (n-1)!*n^2+1 | |
A189786: | |
a(1) = 2 | |
a(2) = 4 | |
a(3) = 8 | |
a(n) = a(n-3)+8 for n >= 4 | |
A189833: | |
a(1) = 8 | |
a(n) = 2*n+a(n-1)-3 for n >= 2 | |
A189836: | |
a(1) = 11 | |
a(n) = 2*n+a(n-1)-3 for n >= 2 | |
A190146: | |
a(1) = 2 | |
a(2) = 3 | |
a(n) = -3*a(n-2)+9 for n >= 3 | |
A190539: | |
a(n) = 2^(n-1)^3 | |
A191561: | |
a(n) = Mod(2^n,3*n) | |
A191629: | |
a(n) = Floor(2^n*(3*n-1)^(-1)) | |
A191630: | |
a(n) = Floor(2^n*(2*n+1)^(-1)) | |
A191631: | |
a(n) = Floor(2^n*(n+n-1)^(-1)) | |
A192224: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = Floor(1/2*n^2)+a(n-2) for n >= 3 | |
A192263: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Abs(-3*a(n-2)+a(n-1)) for n >= 3 | |
A192335: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = 2^a(n-2)+2 for n >= 3 | |
A192544: | |
a(1) = 8 | |
a(n) = a(n-1)+4 for n >= 2 | |
A192580: | |
a(1) = 2 | |
a(n) = 2*a(n-1)+1 for n >= 2 | |
A192591: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = a(n-2)^2+10 for n >= 3 | |
A193064: | |
a(n) = n!!+CatalanNumber(n-1) | |
A193129: | |
a(n) = (n+2)^(2*n) | |
A193622: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = n+a(n-2)-1 for n >= 3 | |
A195762: | |
a(n) = n^(-2)*(2*n)^(n-1) | |
A196291: | |
a(n) = (n-1)^10-n+1 | |
A196292: | |
a(n) = (n-1)^10+n-1 | |
A196411: | |
a(n) = -(n-1)^4+(n-1)! | |
A196412: | |
a(n) = -(n-1)^5+(n-1)! | |
A196413: | |
a(n) = -(n-1)^6+(n-1)! | |
A196657: | |
a(1) = 127 | |
a(n) = 2*a(n-1)-1 for n >= 2 | |
A196739: | |
a(n) = -(n-1)^10+(n-1)! | |
A200439: | |
a(1) = 2 | |
a(2) = 7 | |
a(3) = 3 | |
a(n) = Mod(a(n-2)^a(n-3),4) for n >= 4 | |
A201363: | |
a(1) = 2 | |
a(n) = a(n-1)!+1 for n >= 2 | |
A202102: | |
a(1) = 2 | |
a(2) = 2 | |
a(n) = Mod(a(n-2),a(n-1))+4 for n >= 3 | |
A202151: | |
a(1) = 4 | |
a(2) = 4 | |
a(n) = Mod(n+1,3)+a(n-2) for n >= 3 | |
A202258: | |
a(1) = 8 | |
a(2) = 6 | |
a(n) = -Mod(a(n-2),n-1)+5 for n >= 3 | |
A203400: | |
a(1) = 0 | |
a(2) = 0 | |
a(3) = 1 | |
a(n) = -a(n-3)+a(n-1)+1 for n >= 4 | |
A203424: | |
a(1) = 1 | |
a(n) = a(n-1)*((-2)*n)^(n-1) for n >= 2 | |
A204904: | |
a(n) = Mod(n^2,2*n)+n | |
A206344: | |
a(n) = Floor(1/2*n)^n | |
A206419: | |
a(1) = 11 | |
a(2) = 7 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206420: | |
a(1) = 11 | |
a(2) = 8 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206422: | |
a(1) = 11 | |
a(2) = 9 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206423: | |
a(1) = 12 | |
a(2) = 7 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206444: | |
a(1) = 13 | |
a(n) = 4*a(n-1)+1 for n >= 2 | |
A206564: | |
a(1) = 14 | |
a(2) = 13 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206605: | |
a(1) = 14 | |
a(2) = 11 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206607: | |
a(1) = 13 | |
a(2) = 11 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206608: | |
a(1) = 13 | |
a(2) = 10 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206609: | |
a(1) = 13 | |
a(2) = 9 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206610: | |
a(1) = 13 | |
a(2) = 8 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206611: | |
a(1) = 13 | |
a(2) = 7 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A206612: | |
a(1) = 13 | |
a(2) = 6 | |
a(n) = a(n-2)+a(n-1) for n >= 3 | |
A207640: | |
a(1) = 225 | |
a(2) = 361 | |
a(3) = 625 | |
a(n) = 4*a(n-3) for n >= 4 | |
A209876: | |
a(1) = 30 | |
a(2) = 66 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A210240: | |
a(1) = 5 | |
a(2) = 8 | |
a(n) = Mod(a(n-2)!!,10)+a(n-1) for n >= 3 | |
A210379: | |
a(n) = Floor(1/2*n^2)*n^2 | |
A210622: | |
a(1) = 3 | |
a(2) = 1 | |
a(3) = 4 | |
a(n) = Mod(6,2*n-a(n-3)) for n >= 4 | |
A211004: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = n+a(n-3) for n >= 4 | |
A211547: | |
a(n) = Floor(1/3*(n-1))^2 | |
A212555: | |
a(1) = 0 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = n+a(n-3) for n >= 4 | |
A212832: | |
a(1) = 2 | |
a(2) = 0 | |
a(3) = 8 | |
a(n) = 3 for n >= 4 | |
A213169: | |
a(n) = (n-1)!+n | |
A213182: | |
a(1) = 10100 | |
a(n) = a(n-1)+1 for n >= 2 | |
A213184: | |
a(1) = 10100 | |
a(n) = a(n-1)+1 for n >= 2 | |
A214395: | |
a(1) = 5 | |
a(2) = 9 | |
a(3) = 2 | |
a(n) = a(n-3) for n >= 4 | |
A215036: | |
a(1) = 2 | |
a(2) = 1 | |
a(n) = Mod(a(n-2),n-1) for n >= 3 | |
A215137: | |
a(1) = 1 | |
a(2) = 18 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A215144: | |
a(1) = 1 | |
a(2) = 20 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A215145: | |
a(1) = 1 | |
a(n) = a(n-1)+20 for n >= 2 | |
A215146: | |
a(1) = 1 | |
a(2) = 22 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A215148: | |
a(1) = 1 | |
a(2) = 24 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A215403: | |
a(1) = 312211322212221121123222114 | |
a(2) = 13112221133211322112211213322114 | |
a(n) = a(n-2)+1 for n >= 3 | |
A215409: | |
a(1) = 3 | |
a(2) = 3 | |
a(n) = Floor(a(n-2)!*(n-1)^(-1)) for n >= 3 | |
A215537: | |
a(1) = 25 | |
a(2) = 17 | |
a(n) = Mod(n-1,a(n-2))+10 for n >= 3 | |
A215650: | |
a(n) = (n-1)!^n+n-1 | |
A215795: | |
a(1) = 0 | |
a(n) = a(n-1)!!+a(n-1) for n >= 2 | |
A216095: | |
a(n) = Mod(2^n,10000) | |
A216149: | |
a(n) = (n+1)^(n-1) | |
A216289: | |
a(1) = 20 | |
a(2) = 9 | |
a(n) = Floor(a(n-1)^(-1)*a(n-2)) for n >= 3 | |
A216491: | |
a(1) = 12 | |
a(n) = 5*a(n-1) for n >= 2 | |
A216517: | |
a(1) = 6 | |
a(n) = 7*a(n-1) for n >= 2 | |
A216592: | |
a(n) = -(2*n)!+CatalanNumber((n+1)!) | |
A216841: | |
a(1) = 24 | |
a(2) = 18 | |
a(n) = Mod(n+1,a(n-2))+n+1 for n >= 3 | |
A217396: | |
a(n) = n+n!!*n^(-1)-1 | |
A218122: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-3)+a(n-2)^a(n-1) for n >= 4 | |
A218270: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = a(n-2)^a(n-1)+1 for n >= 3 | |
A218271: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 1 | |
a(n) = a(n-3)+a(n-1)^a(n-2) for n >= 4 | |
A218564: | |
a(1) = 1068 | |
a(2) = 2057 | |
a(3) = 4193 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A218565: | |
a(1) = 1068 | |
a(2) = 14557 | |
a(3) = 16693 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A218574: | |
a(1) = 32318 | |
a(2) = 45807 | |
a(3) = 110443 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A219056: | |
a(n) = 3*(n-1)^4 | |
A220087: | |
a(1) = -26 | |
a(n) = a(n-1)+1/4*2^n for n >= 2 | |
A220088: | |
a(1) = -80 | |
a(n) = a(n-1)+1/4*2^n for n >= 2 | |
A220089: | |
a(1) = -242 | |
a(n) = a(n-1)+1/4*2^n for n >= 2 | |
A220105: | |
a(n) = Mod(1/2*2^n,n^2) | |
A220189: | |
a(1) = 4 | |
a(n) = (n+1)^(a(n-1)*n^(-1)) for n >= 2 | |
A220315: | |
a(n) = Floor((5/4)^(2*n)) | |
A220788: | |
a(n) = -Mod(n+1,5)+2^n | |
A222621: | |
a(n) = (2*n-1)^(2*n) | |
A223082: | |
a(1) = 9 | |
a(2) = 0 | |
a(n) = Floor(6*(n+a(n-2)-1)^(-1)) for n >= 3 | |
A223134: | |
a(1) = 1 | |
a(2) = 4 | |
a(n) = 2*n-1 for n >= 3 | |
A224535: | |
a(1) = 15 | |
a(2) = 19 | |
a(n) = Mod(2,a(n-2))+a(n-1) for n >= 3 | |
A224886: | |
a(1) = 0 | |
a(n) = Floor(n^2^(a(n-1)*n^(-1))) for n >= 2 | |
A224999: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = a(n-2)+3 for n >= 3 | |
A225000: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = a(n-2)+5 for n >= 3 | |
A225001: | |
a(1) = 4 | |
a(n) = Floor(1/5*a(n-1))+n for n >= 2 | |
A225002: | |
a(1) = 1 | |
a(2) = 4 | |
a(3) = 6 | |
a(n) = a(n-3)+7 for n >= 4 | |
A225053: | |
a(n) = n*Binomial(3,n-1) | |
A225647: | |
a(1) = 1 | |
a(2) = 3 | |
a(n) = a(n-2)+3 for n >= 3 | |
A226142: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 2 | |
a(n) = Mod(a(n-1),a(n-3))+3 for n >= 4 | |
A226264: | |
a(1) = 36 | |
a(n) = 2*a(n-1)+12 for n >= 2 | |
A227537: | |
a(1) = 7 | |
a(2) = 5 | |
a(3) = 6 | |
a(n) = CatalanNumber(-n+a(n-3))+n-1 for n >= 4 | |
A228245: | |
a(1) = 10 | |
a(2) = 10 | |
a(3) = 1 | |
a(n) = -Mod(n^2,3)+a(n-3) for n >= 4 | |
A228728: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 4 | |
a(n) = n+2 for n >= 4 | |
A229384: | |
a(n) = Abs((n-1)^(n+1)-n) | |
A229462: | |
a(1) = 7 | |
a(2) = 15 | |
a(n) = 4*a(n-2) for n >= 3 | |
A229878: | |
a(n) = 1/2*Mod(2^n,n) | |
A230848: | |
a(1) = 1 | |
a(2) = 6 | |
a(3) = 7 | |
a(n) = Mod(a(n-3)+3,a(n-2)!!) for n >= 4 | |
A231002: | |
a(1) = 5 | |
a(2) = 23 | |
a(3) = 33 | |
a(n) = -a(n-3)+a(n-2)+a(n-1) for n >= 4 | |
A231116: | |
a(1) = 1 | |
a(n) = n^2+a(n-1)-2 for n >= 2 | |
A231408: | |
a(1) = 1 | |
a(2) = 2 | |
a(n) = n+a(n-2) for n >= 3 | |
A232014: | |
a(1) = 16 | |
a(2) = 4 | |
a(n) = Mod(CatalanNumber(a(n-2)),n+1)+1 for n >= 3 | |
A233524: | |
a(n) = Floor(1/6*n*(n+2)) | |
A235383: | |
a(n) = (4*n+4)^n | |
A235921: | |
a(1) = 210 | |
a(2) = 630 | |
a(n) = -a(n-2)+2*a(n-1) for n >= 3 | |
A236210: | |
a(1) = 1 | |
a(n) = -Mod(a(n-1),4)+n+1 for n >= 2 | |
A236398: | |
a(1) = 1 | |
a(2) = 1 | |
a(n) = Mod(2^n,3)*a(n-2)^(-1) for n >= 3 | |
A236485: | |
a(1) = 11 | |
a(n) = 6*n+a(n-1)+6 for n >= 2 | |
A236682: | |
a(1) = 3 | |
a(2) = 3 | |
a(3) = 3 | |
a(n) = Floor(n^2*(2*n-a(n-3))^(-1)) for n >= 4 | |
A237419: | |
a(n) = 2^n^(2*n)-3 | |
A238411: | |
a(n) = -Mod(n^2,2*n)+n^2 | |
A239661: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 9 | |
a(n) = 11*a(n-3) for n >= 4 | |
A240129: | |
a(1) = 0 | |
a(n) = 6^(2*a(n-1)) for n >= 2 | |
A241071: | |
a(1) = 1 | |
a(n) = Floor(1/2*a(n-1))+n for n >= 2 | |
A242211: | |
a(1) = 4 | |
a(2) = 6 | |
a(3) = 12 | |
a(n) = a(n-2)^Mod(2,a(n-3)) for n >= 4 | |
A242349: | |
a(1) = 1 | |
a(n) = -Mod(n^2,a(n-1))+n^2 for n >= 2 | |
A242737: | |
a(1) = 1 | |
a(n) = Abs(n-a(n-1)^3) for n >= 2 | |
A242895: | |
a(1) = 5 | |
a(2) = 5 | |
a(n) = Mod(a(n-2),a(n-1))+10 for n >= 3 | |
A242927: | |
a(1) = 1 | |
a(n) = a(n-1)^2+a(n-1) for n >= 2 | |
A242963: | |
a(1) = 5 | |
a(n) = Mod(n+1,a(n-1))+4 for n >= 2 | |
A243302: | |
a(1) = 1 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = n+a(n-3)+1 for n >= 4 | |
A243334: | |
a(1) = 1 | |
a(2) = 1 | |
a(3) = 0 | |
a(n) = Binomial(a(n-3)!+a(n-2),a(n-1)) for n >= 4 | |
A244055: | |
a(1) = 3 | |
a(2) = 4 | |
a(n) = Mod(6,a(n-2))+3 for n >= 3 | |
A244919: | |
a(1) = 2 | |
a(n) = 3 for n >= 2 | |
A244951: | |
a(1) = 4 | |
a(2) = 3 | |
a(n) = Mod(a(n-2),n)+1 for n >= 3 | |
A245206: | |
a(n) = 1019 | |
A245490: | |
a(n) = Floor((n-1)^(n-1)^3) | |
A247328: | |
a(1) = 1 | |
a(n) = a(n-1)+2 for n >= 2 | |
A247397: | |
a(n) = Floor(1/10*(n-1))+n | |
A247825: | |
a(1) = 24 | |
a(n) = n*Mod(5,a(n-1))! for n >= 2 | |
A247849: | |
a(1) = 11 | |
a(2) = 12 | |
a(n) = Mod(n+1,a(n-2))+10 for n >= 3 | |
A248672: | |
a(1) = 2 | |
a(2) = 4 | |
a(n) = Mod(a(n-2)+3,n-1) for n >= 3 | |
A248866: | |
a(1) = 4 | |
a(2) = 9 | |
a(3) = 4 | |
a(n) = Mod(6,a(n-3)!) for n >= 4 | |
A249075: | |
a(1) = 1 | |
a(2) = 5 | |
a(n) = 2*a(n-2)*n+a(n-1) for n >= 3 | |
A249752: | |
a(1) = 1 | |
a(n) = Mod(6,a(n-1))+n-1 for n >= 2 | |
A250405: | |
a(1) = 1 | |
a(n) = a(n-1)*(a(n-1)+2) for n >= 2 | |
A252661: | |
a(1) = 2 | |
a(n) = Binomial(2^n,a(n-1))+1 for n >= 2 | |
A252790: | |
a(1) = 1 | |
a(n) = n!!+a(n-1)+1 for n >= 2 | |
A252794: | |
a(1) = 1 | |
a(n) = a(n-1)!*(n-1)^(-1)+2^n for n >= 2 | |
A252802: | |
a(1) = 3 | |
a(n) = a(n-1)+8 for n >= 2 | |
A253548: | |
a(1) = 1 | |
a(2) = 2 | |
a(3) = 3 | |
a(n) = Mod(a(n-3)!!,5)+2 for n >= 4 | |
A254154: | |
a(1) = 5 | |
a(2) = 9 | |
a(n) = Mod(Mod(a(n-2)!!,2^n),10) for n >= 3 | |
A254177: | |
a(1) = 7 | |
a(2) = 5 | |
a(3) = 1 | |
a(n) = 3*Mod(2*n,a(n-3)) for n >= 4 | |
A254245: | |
a(1) = 6 | |
a(2) = 6 | |
a(n) = Mod(a(n-2)!+n-1,10) for n >= 3 | |
A254251: | |
a(1) = 2 | |
a(2) = 7 | |
a(3) = 2 | |
a(n) = Mod(a(n-3)+a(n-1),n-1)!! for n >= 4 | |
A254279: | |
a(1) = 3 | |
a(2) = 3 | |
a(3) = 4 | |
a(n) = Mod(2^n,a(n-1))+a(n-3) for n >= 4 | |
A254292: | |
a(1) = 1 | |
a(2) = 6 | |
a(3) = 9 | |
a(n) = Mod(CatalanNumber(a(n-3)),n^2)+1 for n >= 4 | |
A255524: | |
a(1) = 4 | |
a(2) = 6 | |
a(3) = 2 | |
a(n) = -Mod(n+1,a(n-3))!+4 for n >= 4 | |
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