A020060 a(n) = floor( Gamma(n+9/10)/Gamma(9/10) ).

1, 0, 1, 4, 19, 94, 559, 3857, 30477, 271252, 2685395, 29270806, 348322596, 4493361500, 62457724853, 930620100318, 14796859595058, 250066927156481, 4476197996101023, 84600142126309335, 1683542828313555774

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A020015, A020105.

Cf. A020061, A020062, A020063.

Programs

Magma

[Floor(Gamma(n+9/10)/Gamma(9/10)): 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(floor(pochhammer(9/10,n)), n = 0..20); # G. C. Greubel, Nov 13 2019

Mathematica

Floor[Pochhammer[9/10, Range[0, 20]]] (* G. C. Greubel, Nov 13 2019 *)

PARI

vector(21, n, my(x=9/10); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 13 2019

Sage

[floor(rising_factorial(9/10, n)) for n in (0..20)] # G. C. Greubel, Nov 13 2019