A020027 Nearest integer to Gamma(n + 3/8)/Gamma(3/8).

1, 0, 1, 1, 4, 18, 97, 620, 4570, 38270, 358778, 3722325, 42341447, 523975411, 7008171125, 100742459918, 1548915321246, 25363488385399, 440690610696307, 8097689971544645, 156892743198677493, 3196689642673053919

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Comments

Gamma(n + 3/8)/Gamma(3/8) = 1, 3/8, 33/64, 627/512, 16929/4096, 592515/32768, 25478145/262144, ... - R. J. Mathar, Sep 04 2016

Crossrefs

Cf. A020072, A020117, A144756.

Programs

Maple

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

Mathematica

Table[Round[Gamma[n+3/8]/Gamma[3/8]],{n,0,30}] (* Harvey P. Dale, May 05 2022 *)