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

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

Offset

0,3

Comments

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

Links

Table of n, a(n) for n=0..20.

Maple

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

Crossrefs

Cf. A008543, A020080, A020125.

Sequence in context: A389693 A096122 A014522 * A112005 A212581 A305786

Adjacent sequences: A020032 A020033 A020034 * A020036 A020037 A020038

Keyword

nonn

Author

Simon Plouffe

Status

approved