A020072 a(n) = floor( Gamma(n+3/8)/Gamma(3/8) ).

1, 0, 0, 1, 4, 18, 97, 619, 4569, 38269, 358778, 3722325, 42341447, 523975411, 7008171124, 100742459918, 1548915321245, 25363488385398, 440690610696307, 8097689971544644, 156892743198677492, 3196689642673053918

Offset

0,5

Links

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

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(3/8, n)), n = 0..25); # G. C. Greubel, Nov 17 2019

Mathematica

Floor[Pochhammer[3/8, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)

Prog

(PARI) vector(26, n, my(x=3/8); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019
(Magma) [Floor(Gamma(n+3/8)/Gamma(3/8)): n in [0..25]]; // G. C. Greubel, Nov 17 2019
(Sage) [floor(rising_factorial(3/8, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019

Crossrefs

Cf. A020070, A020071, A020073.

Sequence in context: A086681 A054139 A370569 * A020027 A263688 A197593

Adjacent sequences: A020069 A020070 A020071 * A020073 A020074 A020075

Keyword

nonn

Author

Simon Plouffe

Status

approved