A020110 Ceiling of Gamma(n + 7/9)/Gamma(7/9).

1, 1, 2, 4, 15, 70, 401, 2715, 21116, 185346, 1812264, 19532171, 230045569, 2939471158, 40499380397, 598490843643, 9442855533027, 158430131720784, 2816535675036147, 52888281009012093, 1046012668844905827

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Programs

Maple

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

Mathematica

Table[Ceiling[Gamma[n + 7/9]/Gamma[7/9]], {n, 0, 29}] (* Alonso del Arte, Jun 17 2018 *)

PARI

a(n) = ceil(gamma(n + 7/9)/gamma(7/9)); \\ Michel Marcus, Jun 21 2018