A020066 Integer part of Gamma(n+5/9)/Gamma(5/9).

1, 0, 0, 2, 7, 35, 198, 1302, 9843, 84216, 804738, 8494460, 98158213, 1232430908, 16706285646, 243169268856, 3782633071103, 62623591954942, 1099391947653437, 20399828362013787, 398929976857158503

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A020064, A020065, A020067, A020068, A020069.

Cf. A020021, A020111.

Programs

Magma

[Truncate(Gamma(n+5/9)/Gamma(5/9)): 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(5/9,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

Mathematica

IntegerPart[Pochhammer[5/9, 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, 5/9)) ) \\ G. C. Greubel, Nov 13 2019

Sage

[int(rising_factorial(5/9, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019