A020083 a(n) = floor( Gamma(n + 3/5)/Gamma(3/5) ).

1, 0, 0, 2, 8, 41, 231, 1527, 11610, 99850, 958561, 10160755, 117864768, 1485096081, 20197306708, 294880677941, 4600138575887, 76362300359740, 1343976486331425, 24997962645764522, 489960067856984638

Offset: 0

Author

Simon Plouffe

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..449

Crossrefs

Cf. A020038, A020128.

Cf. A020082, A020084, A020085.

Programs

Magma

[Truncate(Gamma(n + 3/5)/Gamma(3/5)): n in [0..30]]; // G. C. Greubel, Nov 19 2018

Maple

Digits:= 64: x:=3/5: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(3/5,n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[3/5, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)

PARI

vector(26, n, my(x=3/5); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018

Sage

[int(gamma(n + 3/5)/gamma(3/5))  for n in range(30)] # G. C. Greubel, Nov 19 2018