login
A020036
Nearest integer to Gamma(n + 1/6)/Gamma(1/6).
1
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
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
KEYWORD
nonn
AUTHOR
STATUS
approved