A020075 a(n) = floor( Gamma(n+5/7)/Gamma(5/7) ).

1, 0, 1, 3, 12, 58, 332, 2232, 17225, 150103, 1458149, 15623031, 183012659, 2326875239, 31911431853, 469553925838, 7378704548888, 123329776031414, 2184698889699346, 40885079221516335, 806020133224179176

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

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

Crossrefs

Cf. A220606.

Cf. A020074, A020076, A020077, A020078, A020079.

Programs

Magma

[Floor(Gamma(n+5/7)/Gamma(5/7)): n in [0..25]]; // G. C. Greubel, Nov 17 2019

Maple

Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(5/7,n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[5/7, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)

PARI

vector(26, n, my(x=5/7); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019

Sage

[floor(rising_factorial(5/7, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019