A020015 Nearest integer to Gamma(n + 9/10)/Gamma(9/10).

1, 1, 2, 5, 19, 95, 559, 3858, 30478, 271252, 2685395, 29270806, 348322597, 4493361500, 62457724854, 930620100318, 14796859595058, 250066927156482, 4476197996101023, 84600142126309335, 1683542828313555775, 35186045111753315688

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 9/10)/Gamma(9/10) = 1, 9/10, 171/100, 4959/1000, 193401/10000, 9476649/100000, 559122291/1000000, ... - R. J. Mathar, Sep 04 2016

Links

• G. C. Greubel, Table of n, a(n) for n = 0..448

Crossrefs

Cf. A049212, A020060, A020105.

Programs

Magma

[Round(Gamma(n +9/10)/Gamma(9/10)): n in [0..30]]; // G. C. Greubel, Jan 19 2018

Maple

Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end; seq(f(n, 9/10), n=0..25);

Mathematica

f[n_] := Round[Gamma[n + 9/10]/Gamma[9/10]]; Array[f, 22, 0] (* Robert G. Wilson v, Sep 13 2013 *)

PARI

for(n=0,30, print1(round(gamma(n+9/10)/gamma(9/10)), ", ")) \\ G. C. Greubel, Jan 19 2018