A020058 a(n) = floor(Gamma(n+2/11)/Gamma(2/11)).

1, 0, 0, 0, 1, 6, 32, 199, 1435, 11741, 107809, 1097700, 12274282, 149523079, 1970986052, 27952165838, 424364699554, 6866992410974, 117987415061286, 2145225728387029, 41149329880878477, 830468293959547464

Offset

0,6

Links

G. C. Greubel, Table of n, a(n) for n = 0..450

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(2/11, n)), n = 0..25); # G. C. Greubel, Nov 30 2019

Mathematica

Floor[Pochhammer[2/11, Range[0, 25]]] (* G. C. Greubel, Nov 30 2019 *)

Prog

(PARI) x=2/11; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 30 2019
(Magma) [Floor(Gamma(n+2/11)/Gamma(2/11)): n in [0..25]]; // G. C. Greubel, Nov 30 2019
(Sage) [floor(rising_factorial(2/11, n)) for n in (0..25)] # G. C. Greubel, Nov 30 2019

Crossrefs

Cf. A020013, A020103.

Sequence in context: A319228 A216441 A108188 * A146557 A020013 A283326

Adjacent sequences: A020055 A020056 A020057 * A020059 A020060 A020061

Keyword

nonn

Author

Simon Plouffe

Status

approved