A020064 Integer part of Gamma(n+8/9)/Gamma(8/9).

1, 0, 1, 4, 18, 92, 543, 3741, 29513, 262341, 2594261, 28248627, 335844792, 4328666215, 60120364100, 895125421053, 14222548356738, 240203038913807, 4296965473902563, 81164903395937306, 1614279745319197538

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A020065, A020066, A020067, A020068, A020069.

Cf. A020019, A020109.

Programs

Magma

[Truncate(Gamma(n+8/9)/Gamma(8/9)): 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(8/9,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

Mathematica

IntegerPart[Pochhammer[8/9, 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, 8/9)) ) \\ G. C. Greubel, Nov 13 2019

Sage

[int(rising_factorial(8/9, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019