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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 | |