A020059 a(n) = floor(Gamma(n+1/11) / Gamma(1/11)).

1, 0, 0, 0, 0, 2, 13, 81, 576, 4664, 42405, 427908, 4745899, 57382239, 751185683, 10584889174, 159735600269, 2570291022522, 43928610203108, 794708493674422, 15171707606511701, 304813398276280545, 6428791672736098775

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

• Robert Israel, Table of n, a(n) for n = 0..451

Programs

Magma

[Floor(Gamma(n+1/11)/Gamma(1/11)): n in [0..30]]; // G. C. Greubel, Mar 04 2019

Maple

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;

Mathematica

Table[Floor[Pochhammer[1/11,n]], {n,0,30}] (* G. C. Greubel, Mar 04 2019 *)

PARI

a(n) = floor(gamma(n+1/11)/gamma(1/11)) \\ Felix Fröhlich, Mar 04 2019

Sage

[floor(gamma(n+1/11)/gamma(1/11)) for n in (0..30)] # G. C. Greubel, Mar 04 2019

Formula

a(n) ~ n^(n - 9/22)*e^(-n)*sqrt(2*Pi)/Gamma(1/11). - Robert Israel, Mar 04 2019