A020084 a(n) = floor( Gamma(n + 2/5)/Gamma(2/5) ).
1, 0, 0, 1, 4, 20, 108, 694, 5142, 43193, 406016, 4222569, 48137291, 596902408, 7998492273, 115178288736, 1773745646539, 29089428603255, 506156057696641, 9313271461618195, 180677466355392995, 3685820313650017111
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..449
Programs
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Magma
[Truncate(Gamma(n + 2/5)/Gamma(2/5)): n in [0..30]]; // G. C. Greubel, Nov 19 2018
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Maple
Digits:= 64: x:=2/5: f:= proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end; seq(floor(pochhammer(2/5,n)), n = 0..25); # G. C. Greubel, Nov 17 2019
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Mathematica
Floor[Pochhammer[2/5, Range[0, 25]]] (* G. C. Greubel, Nov 19 2018 *)
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PARI
vector(26, n, my(x=2/5); gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 19 2018
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Sage
[int(gamma(n + 2/5)/gamma(2/5)) for n in range(30)] # G. C. Greubel, Nov 19 2018
Comments