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A020080
a(n) = floor( Gamma(n + 5/6)/Gamma(5/6) ).
2
1, 0, 1, 4, 16, 80, 467, 3196, 25042, 221208, 2175216, 23564850, 278850730, 3578584368, 49503750432, 734305631412, 11626505830701, 195712848150140, 3490212458677514, 65732334638426516, 1303691303662125905
OFFSET
0,4
LINKS
MAPLE
Digits:= 64: x:=5/6: f:= proc(n, x) trunc(GAMMA(n+x)/GAMMA(x)); end;
seq(floor(pochhammer(5/6, n)), n = 0..25); # G. C. Greubel, Nov 17 2019
MATHEMATICA
Floor[Pochhammer[5/6, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)
PROG
(PARI) vector(26, n, my(x=5/6); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018
(Magma) [Truncate(Gamma(n + 5/6)/Gamma(5/6)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
(Sage) [int(gamma(n + 5/6)/gamma(5/6)) for n in range(30)] # G. C. Greubel, Nov 19 2018
CROSSREFS
Sequence in context: A075581 A171454 A316944 * A279361 A374982 A003471
KEYWORD
nonn
AUTHOR
STATUS
approved