A020125 -id:A020125 - cp's OEIS frontend

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

Simon Plouffe

nonn

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

Cf. A020035, A020125.

[Truncate(Gamma(n + 5/6)/Gamma(5/6)): n in [0..30]]; // G. C. Greubel, Nov 19 2018

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

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

vector(26, n, my(x=5/6); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018

[int(gamma(n + 5/6)/gamma(5/6))  for n in range(30)] # G. C. Greubel, Nov 19 2018

A020035 Nearest integer to Gamma(n + 5/6)/Gamma(5/6).

Original entry on oeis.org

1, 1, 2, 4, 17, 80, 468, 3197, 25042, 221209, 2175217, 23564850, 278850730, 3578584369, 49503750432, 734305631413, 11626505830701, 195712848150141, 3490212458677514, 65732334638426516, 1303691303662125906

Offset: 0

Simon Plouffe

nonn

Gamma(n + 5/6)/Gamma(5/6) = 1, 5/6, 55/36, 935/216, 21505/1296, 623645/7776, 21827575/46656, 894930575/279936, ... - R. J. Mathar, Sep 04 2016

Cf. A008543, A020080, A020125.

Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end;

cp's OEIS Frontend

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

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