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Sequencer OEIS survey full search results
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