A020023 Nearest integer to Gamma(n + 2/9)/Gamma(2/9).

1, 0, 0, 1, 2, 8, 43, 267, 1927, 15845, 146123, 1493701, 16762640, 204876709, 2708925368, 38526938568, 586465620430, 9513775620310, 163848357905336, 2985681188497227, 57391427290002261, 1160582196308934615

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 2/9)/Gamma(2/9) = 1, 2/9, 22/81, 440/729, 12760/6561, 484880/59049, 22789360/531441, 1276204160/4782969, ... - R. J. Mathar, Sep 04 2016

Links

• G. C. Greubel, Table of n, a(n) for n = 0..450

Crossrefs

Cf. A020068, A020113.

Programs

Magma

[Round(Gamma(n +2/9)/Gamma(2/9)): 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 + 2/9]/Gamma[2/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

PARI

for(n=0,30, print1(round(gamma(n+2/9)/gamma(2/9)), ", ")) \\ G. C. Greubel, Feb 03 2018