A020069 Integer part of Gamma(n+1/9)/Gamma(1/9).

1, 0, 0, 0, 0, 3, 17, 104, 740, 6005, 54717, 553253, 6147263, 74450193, 976124760, 13774204958, 208143541601, 3353423725801, 57380805974819, 1039230152655057, 19860842917407765, 399423618672311729

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A020064, A020065, A020066, A020067, A020068.

Cf. A020024, A020114.

Programs

Magma

[Truncate(Gamma(n+1/9)/Gamma(1/9)): n in [0..25]]; // G. C. Greubel, Nov 13 2019

Maple

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(trunc(pochhammer(1/9,n)), n = 0..25); # G. C. Greubel, Nov 13 2019

Mathematica

IntegerPart[Pochhammer[1/9, Range[0, 25]]] (* G. C. Greubel, Nov 13 2019 *)

PARI

P(n,x) = gamma(x+n)/gamma(x);
vector(26, n, truncate(P(n-1, 1/9)) ) \\ G. C. Greubel, Nov 13 2019

Sage

[int(rising_factorial(1/9, n)) for n in (0..25)] # G. C. Greubel, Nov 13 2019