A020005 Nearest integer to Gamma(n + 10/11)/Gamma(10/11).

1, 1, 2, 5, 20, 97, 573, 3956, 31285, 278721, 2761871, 30129503, 358814994, 4631975383, 64426566695, 960541539816, 15281342678897, 258393612570435, 4627594697852333, 87503608832116847, 1742117303112144502

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 10/11)/Gamma(10/11) = 1, 10/11, 210/121, 6720/1331, 288960/14641, 15603840/161051, 1014249600/1771561, ... - R. J. Mathar, Sep 04 2016

Links

• Shujing Lyu, Table of n, a(n) for n = 0..449

Crossrefs

Cf. A254322, A020050, A020095.

Programs

Magma

[Round(Gamma(n +10/11)/Gamma(10/11)): n in [0..30]]; // G. C. Greubel, Jan 19 2018

Maple

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

Mathematica

Table[Round[Gamma[n + #]/Gamma[#]] &[10/11], {n, 0, 20}] (* Michael De Vlieger, Apr 18 2016 *)

PARI

a(n) = round(gamma(n+10/11)/gamma(10/11)); \\ Michel Marcus, Apr 19 2016