A020086 a(n) = floor( Gamma(n + 3/4)/Gamma(3/4) ).

1, 0, 1, 3, 13, 64, 369, 2495, 19338, 169214, 1649843, 17735822, 208395915, 2657047923, 36534408953, 538882532060, 8487399879954, 142163947989232, 2523410076808876, 47313938940166438, 934450294068287157

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..449

Maple

Digits:= 64: x:=3/4: f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(3/4, n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[3/4, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)

Prog

(PARI) vector(26, n, my(x=3/4); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018
(Magma) [Truncate(Gamma(n + 3/4)/Gamma(3/4)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
(Sage) [int(gamma(n + 3/4)/gamma(3/4))  for n in range(30)] # G. C. Greubel, Nov 19 2018

Crossrefs

Cf. A020041, A020131.

Sequence in context: A366026 A200719 A065065 * A151987 A369796 A356485

Adjacent sequences: A020083 A020084 A020085 * A020087 A020088 A020089

Keyword

nonn

Author

Simon Plouffe

Status

approved