A020036 Nearest integer to Gamma(n + 1/6)/Gamma(1/6).

1, 0, 0, 0, 1, 6, 29, 177, 1269, 10366, 95020, 966032, 10787363, 131246245, 1728075563, 24481070470, 371296235455, 6002622473192, 103045019123133, 1871984514070245, 35879703186346359, 723574014257984910

Offset

0,6

Comments

Gamma(n + 1/6)/Gamma(1/6) = 1, 1/6, 7/36, 91/216, 1729/1296, 43225/7776, 1339975/46656, 49579075/279936, 2131900225/1679616, ... - R. J. Mathar, Sep 04 2016

Links

Table of n, a(n) for n=0..21.

Maple

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

Mathematica

With[{c=Gamma[1/6]}, Table[Round[Gamma[n+1/6]/c], {n, 0, 30}]] (* Harvey P. Dale, Jan 08 2022 *)

Prog

(PARI) a(n) = round(gamma(n+1/6)/gamma(1/6)); \\ Michel Marcus, Jun 14 2018

Crossrefs

Cf. A008542, A020081, A020126.

Sequence in context: A027248 A192481 A020090 * A294312 A054748 A209112

Adjacent sequences: A020033 A020034 A020035 * A020037 A020038 A020039

Keyword

nonn

Author

Simon Plouffe

Status

approved