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A020071
a(n) = floor( Gamma(n+5/8)/Gamma(5/8) ).
5
1, 0, 1, 2, 9, 44, 251, 1665, 12700, 109544, 1054363, 11202616, 130230419, 1644159040, 22401666926, 327624378797, 5119130918712, 85105551523594, 1499985345603353, 27937227061862467, 548268081089050917
OFFSET
0,4
LINKS
MAPLE
Digits := 64:f := proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(5/8, n)), n = 0..25); # G. C. Greubel, Nov 17 2019
MATHEMATICA
Floor[Pochhammer[5/8, Range[0, 25]]] (* G. C. Greubel, Nov 17 2019 *)
PROG
(PARI) vector(26, n, my(x=5/8); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 17 2019
(Magma) [Floor(Gamma(n+5/8)/Gamma(5/8)): n in [0..25]]; // G. C. Greubel, Nov 17 2019
(Sage) [floor(rising_factorial(5/8, n)) for n in (0..25)] # G. C. Greubel, Nov 17 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved