A020088 a(n) = floor(Gamma(n + 2/3)/Gamma(2/3)).

1, 0, 1, 2, 10, 50, 287, 1915, 14684, 127262, 1230201, 13122149, 153091744, 1939162100, 26501882045, 388694270000, 6089543563340, 101492392722342, 1793032271428052, 33469935733323641, 658242069422031618

Offset

0,4

Links

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

Maple

Digits:= 64: x:=2/3: f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(2/3, n)), n = 0..30); # G. C. Greubel, Nov 30 2019

Mathematica

Table[Floor[Pochhammer[2/3, n]], {n, 0, 30}] (* G. C. Greubel, Nov 19 2018 *)

Prog

(PARI) x=2/3; vector(30, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018
(Magma) [Truncate(Gamma(n + 2/3)/Gamma(2/3)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
(Sage) [int(gamma(n + 2/3)/gamma(2/3))  for n in range(30)] # G. C. Greubel, Nov 19 2018

Crossrefs

Cf. A020043, A020133.

Sequence in context: A027908 A206637 A318494 * A205772 A306336 A074140

Adjacent sequences: A020085 A020086 A020087 * A020089 A020090 A020091

Keyword

nonn

Author

Simon Plouffe

Status

approved