A020068 a(n) = floor( Gamma(n+2/9) / Gamma(2/9) ).
1, 0, 0, 0, 1, 8, 42, 266, 1927, 15844, 146122, 1493700, 16762639, 204876708, 2708925368, 38526938568, 586465620430, 9513775620309, 163848357905335, 2985681188497227, 57391427290002261, 1160582196308934615
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..445
Programs
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Magma
[Floor(Gamma(n+2/9)/Gamma(2/9)): n in [0..25]]; // G. C. Greubel, Nov 13 2019
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Maple
Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end; seq(floor(pochhammer(2/9,n)), n = 0..25); # G. C. Greubel, Nov 13 2019
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Mathematica
Floor[Pochhammer[2/9, Range[0, 25]]] (* G. C. Greubel, Nov 13 2019 *)
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PARI
x=2/9; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ G. C. Greubel, Nov 13 2019
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Sage
[floor(rising_factorial(2/9, n)) for n in (0..25)] # G. C. Greubel, Nov 13 2019