A020017 Nearest integer to Gamma(n + 3/10)/Gamma(3/10).

1, 0, 0, 1, 3, 13, 67, 425, 3103, 25751, 239483, 2466678, 27873456, 342843514, 4559818741, 65205407995, 997642742322, 16261576699844, 281325276907304, 5148252567403659, 99361274550890613, 2017033873383079454

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 3/10)/Gamma(3/10) = 1, 3/10, 39/100, 897/1000, 29601/10000, 1272843/100000, 67460679/1000000, ... - R. J. Mathar, Sep 04 2016

Links

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

Crossrefs

Cf. A020062, A020107.

Programs

Magma

[Round(Gamma(n+3/10)/Gamma(3/10)): n in [0..30]]; // G. C. Greubel, Jan 20 2018

Maple

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

Mathematica

Table[Round[Gamma[n + 3/10]/Gamma[3/10]], {n, 0, 50}] (* G. C. Greubel, Jan 20 2018 *)

PARI

for(n=0,30, print1(round(gamma(n+3/10)/gamma(3/10)), ", ")) \\ G. C. Greubel, Jan 20 2018