A020024 Nearest integer to Gamma(n + 1/9)/Gamma(1/9).

1, 0, 0, 0, 1, 3, 17, 104, 740, 6006, 54717, 553254, 6147264, 74450194, 976124761, 13774204959, 208143541601, 3353423725801, 57380805974819, 1039230152655058, 19860842917407766, 399423618672311730

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 1/9)/Gamma(1/9) = 1, 1/9, 10/81, 190/729, 5320/6561, 196840/59049, 9054640/531441, 498005200/4782969, ... - R. J. Mathar, Sep 04 2016

Links

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

Crossrefs

Cf. A020069, A020114.

Programs

Magma

[Round(Gamma(n +1/9)/Gamma(1/9)): 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 + 1/9]/Gamma[1/9]], {n, 0, 50}] (* G. C. Greubel, Feb 03 2018 *)

PARI

for(n=0,30, print1(round(gamma(n+1/9)/gamma(1/9)), ", ")) \\ G. C. Greubel, Feb 03 2018