A020048 a(n) = floor(Gamma(n+5/12)/Gamma(5/12)).

1, 0, 0, 1, 4, 21, 116, 748, 5549, 46704, 439802, 4581280, 52302949, 649428293, 8713162939, 125614765716, 1936560971459, 31791875948134, 553708506096681, 10197464987280554, 198000778503030764, 4042515894436878101

Offset

0,5

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(5/12, n)), n = 0..25); # G. C. Greubel, Dec 01 2019

Mathematica

Floor[Pochhammer[5/12, Range[0, 25]]] (* G. C. Greubel, Dec 01 2019 *)

Prog

(PARI) x=5/12; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Dec 01 2019
(Magma) [Floor(Gamma(n+5/12)/Gamma(5/12)): n in [0..25]]; // G. C. Greubel, Dec 01 2019
(Sage) [floor(rising_factorial(5/12, n)) for n in (0..25)] # G. C. Greubel, Dec 01 2019

Crossrefs

Cf. A020003, A020093.

Sequence in context: A024051 A180908 A212419 * A318365 A093426 A182435

Adjacent sequences: A020045 A020046 A020047 * A020049 A020050 A020051

Keyword

nonn

Author

Simon Plouffe

Status

approved