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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
OFFSET
0,4
LINKS
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
Sequence in context: A366026 A200719 A065065 * A151987 A369796 A356485
KEYWORD
nonn
AUTHOR
STATUS
approved