A020022 Nearest integer to Gamma(n + 4/9)/Gamma(4/9).

1, 0, 1, 2, 5, 24, 131, 843, 6275, 52988, 500442, 5226842, 59818300, 744405515, 10008118595, 144561713037, 2232675345794, 36715105686391, 640474621418148, 11813198572823623, 229701083360459334, 4696111037591613052

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 4/9)/Gamma(4/9) = 1, 4/9, 52/81, 1144/729, 35464/6561, 1418560/59049, 69509440/531441, 4031547520/4782969, ... - R. J. Mathar, Sep 04 2016

Links

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

Crossrefs

Cf. A144829, A020067, A020112.

Programs

Magma

[Round(Gamma(n +4/9)/Gamma(4/9)): 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 + 4/9]/Gamma[4/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

PARI

for(n=0,30, print1(round(gamma(n+4/9)/gamma(4/9)), ", ")) \\ G. C. Greubel, Feb 03 2018