A020020 Nearest integer to Gamma(n + 7/9)/Gamma(7/9).

1, 1, 1, 4, 15, 69, 401, 2715, 21115, 185345, 1812263, 19532171, 230045569, 2939471158, 40499380397, 598490843643, 9442855533027, 158430131720783, 2816535675036147, 52888281009012092, 1046012668844905826

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 7/9)/Gamma(7/9) = 1, 7/9, 112/81, 2800/729, 95200/6561, 4093600/59049, 212867200/531441, 12984899200/4782969, ... - R. J. Mathar, Sep 04 2016

Links

• G. C. Greubel, Table of n, a(n) for n = 0..445

Crossrefs

Cf. A020065, A020110.

Programs

Magma

[Round(Gamma(n +7/9)/Gamma(7/9)): n in [0..30]]; // G. C. Greubel, Feb 03 2018

Maple

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

Mathematica

Table[Round[Gamma[n + 7/9]/Gamma[7/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

PARI

for(n=0,30, print1(round(gamma(n+7/9)/gamma(7/9)), ", ")) \\ G. C. Greubel, Feb 03 2018