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A020086 a(n) = floor( Gamma(n + 3/4)/Gamma(3/4) ). 2
1, 0, 1, 3, 13, 64, 369, 2495, 19338, 169214, 1649843, 17735822, 208395915, 2657047923, 36534408953, 538882532060, 8487399879954, 142163947989232, 2523410076808876, 47313938940166438, 934450294068287157 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

MAPLE

Digits:= 64: x:=3/4: f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;

seq(floor(pochhammer(3/4, n)), n = 0..25); # G. C. Greubel, Nov 17 2019

MATHEMATICA

Floor[Pochhammer[3/4, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)

PROG

(PARI) vector(26, n, my(x=3/4); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018

(MAGMA) [Truncate(Gamma(n + 3/4)/Gamma(3/4)): n in [0..30]]; // G. C. Greubel, Nov 19 2018

(Sage) [int(gamma(n + 3/4)/gamma(3/4))  for n in range(30)] # G. C. Greubel, Nov 19 2018

CROSSREFS

Cf. A020041, A020131.

Sequence in context: A011272 A200719 A065065 * A151987 A126149 A060927

Adjacent sequences:  A020083 A020084 A020085 * A020087 A020088 A020089

KEYWORD

nonn

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified May 26 00:08 EDT 2020. Contains 334613 sequences. (Running on oeis4.)