A020029 Nearest integer to Gamma(n + 6/7)/Gamma(6/7).

1, 1, 2, 5, 18, 85, 499, 3422, 26889, 238158, 2347553, 25487720, 302211543, 3885576978, 53842995268, 799953072548, 12684970150411, 213832353964067, 3818434892215474, 72004772253206073, 1429809049027949160

Offset

0,3

Comments

Gamma(n + 6/7)/Gamma(6/7) = 1, 6/7, 78/49, 1560/343, 42120/2401, 1432080/16807, 58715280/117649, ... - 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;

Mathematica

Table[Round[Gamma[n+6/7]/Gamma[6/7]], {n, 0, 20}] (* Harvey P. Dale, Dec 16 2023 *)

Crossrefs

Cf. A049209, A020074, A020119, A220607.

Sequence in context: A089412 A058798 A122596 * A020119 A109995 A142153

Adjacent sequences: A020026 A020027 A020028 * A020030 A020031 A020032

Keyword

nonn

Author

Simon Plouffe

Status

approved