A020049 a(n) = floor(Gamma(n+1/12)/Gamma(1/12)).

1, 0, 0, 0, 0, 2, 12, 73, 518, 4192, 38083, 384010, 4256112, 51428023, 672849973, 9475970454, 142929221023, 2298778304796, 39270796040272, 710146895061597, 13551969914092152, 272168729108017392, 5738224038694033364

Offset

0,6

Links

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

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(1/12, n)), n = 0..25); # G. C. Greubel, Dec 01 2019

Mathematica

Floor[Pochhammer[1/12, Range[0, 25]]] (* G. C. Greubel, Dec 01 2019 *)

Prog

(PARI) x=1/12; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Dec 01 2019
(Magma) [Floor(Gamma(n+1/12)/Gamma(1/12)): n in [0..25]]; // G. C. Greubel, Dec 01 2019
(Sage) [floor(rising_factorial(1/12, n)) for n in (0..25)] # G. C. Greubel, Dec 01 2019

Crossrefs

Cf. A020004, A020094.

Sequence in context: A037515 A037718 A342054 * A020004 A078469 A014351

Adjacent sequences: A020046 A020047 A020048 * A020050 A020051 A020052

Keyword

nonn

Author

Simon Plouffe

Status

approved