A020046 a(n) = floor(Gamma(n+11/12)/Gamma(11/12)).

1, 0, 1, 5, 20, 98, 583, 4038, 31970, 285069, 2826941, 30860773, 367757553, 4750201727, 66106974037, 986095696055, 15695356495547, 265513114049683, 4757109960056836, 89988663411075164, 1792274212937247027

Offset

0,4

Links

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

Maple

Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(11/12, n)), n = 0..25); # G. C. Greubel, Dec 01 2019

Mathematica

Floor[Pochhammer[11/12, Range[0, 25]]] (* G. C. Greubel, Dec 01 2019 *)

Prog

(PARI) x=11/12; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Dec 01 2019
(Magma) [Floor(Gamma(n+11/12)/Gamma(11/12)): n in [0..25]]; // G. C. Greubel, Dec 01 2019
(Sage) [floor(rising_factorial(11/12, n)) for n in (0..25)] # G. C. Greubel, Dec 01 2019

Crossrefs

Cf. A020001, A020091.

Sequence in context: A182959 A224661 A357786 * A319731 A372006 A272218

Adjacent sequences: A020043 A020044 A020045 * A020047 A020048 A020049

Keyword

nonn

Author

Simon Plouffe

Status

approved