A020065 Integer part of Gamma(n+7/9)/Gamma(7/9).

1, 0, 1, 3, 14, 69, 400, 2714, 21115, 185345, 1812263, 19532170, 230045568, 2939471157, 40499380396, 598490843642, 9442855533026, 158430131720783, 2816535675036146, 52888281009012092, 1046012668844905826

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..445

Crossrefs

Cf. A020064, A020066, A020067, A020068, A020069.

Cf. A020020, A020110.

Programs

Magma

[Truncate(Gamma(n+7/9)/Gamma(7/9)): n in [0..20]]; // G. C. Greubel, Nov 13 2019

Maple

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(trunc(pochhammer(7/9,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

Mathematica

IntegerPart[Pochhammer[7/9, Range[0, 20]]] (* G. C. Greubel, Nov 13 2019 *)

PARI

P(n,x) = gamma(x+n)/gamma(x);
vector(21, n, truncate(P(n-1, 7/9)) ) \\ G. C. Greubel, Nov 13 2019

Sage

[int(rising_factorial(7/9, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019