A020003 Nearest integer to Gamma(n + 5/12)/Gamma(5/12).

1, 0, 1, 1, 5, 22, 117, 748, 5549, 46705, 439803, 4581280, 52302950, 649428294, 8713162940, 125614765716, 1936560971460, 31791875948135, 553708506096682, 10197464987280554, 198000778503030764, 4042515894436878102

Offset

0,5

Comments

Gamma(n + 5/12)/Gamma(5/12) = 1, 5/12, 85/144, 2465/1728, 101065/20736, 5356445/248832, 348168925/2985984,... - R. J. Mathar, Sep 04 2016

Links

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

Maple

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

Mathematica

Table[Round[Gamma[n + 5/12]/Gamma[5/12]], {n, 0, 29}] (* G. C. Greubel, Jan 19 2018 *)

Prog

(PARI) for(n=0, 30, print1(round(gamma(n+5/12)/gamma(5/12)), ", ")) \\ G. C. Greubel, Jan 19 2018
(Magma) [Round(Gamma(n +5/12)/Gamma(5/12)): n in [0..30]]; // G. C. Greubel, Jan 19 2018

Crossrefs

Cf. A020048, A020093.

Sequence in context: A122951 A331836 A184181 * A276750 A131460 A326341

Adjacent sequences: A020000 A020001 A020002 * A020004 A020005 A020006

Keyword

nonn

Author

Simon Plouffe

Status

approved