A020080 a(n) = floor( Gamma(n + 5/6)/Gamma(5/6) ).

1, 0, 1, 4, 16, 80, 467, 3196, 25042, 221208, 2175216, 23564850, 278850730, 3578584368, 49503750432, 734305631412, 11626505830701, 195712848150140, 3490212458677514, 65732334638426516, 1303691303662125905

Offset

0,4

Links

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

Maple

Digits:= 64: x:=5/6: f:= proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(5/6, n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[5/6, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)

Prog

(PARI) vector(26, n, my(x=5/6); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018
(Magma) [Truncate(Gamma(n + 5/6)/Gamma(5/6)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
(Sage) [int(gamma(n + 5/6)/gamma(5/6))  for n in range(30)] # G. C. Greubel, Nov 19 2018

Crossrefs

Cf. A020035, A020125.

Sequence in context: A075581 A171454 A316944 * A279361 A374982 A003471

Adjacent sequences: A020077 A020078 A020079 * A020081 A020082 A020083

Keyword

nonn

Author

Simon Plouffe

Status

approved