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A020040
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a(n) = round( Gamma(n+1/5)/Gamma(1/5) ).
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2
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1, 0, 0, 1, 2, 7, 37, 229, 1647, 13507, 124269, 1267543, 14196477, 173197024, 2286200718, 32464050199, 493453563029, 7993947721071, 137495900802424, 2502425394604114, 48046567576398986, 970540665043259525
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OFFSET
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0,5
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COMMENTS
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Gamma(n+1/5)/Gamma(1/5) = 1, 1/5, 6/25, 66/125, 1056/625, 22176/3125, 576576/15625, 17873856/78125, ... - R. J. Mathar, Sep 04 2016
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LINKS
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MAPLE
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Digits := 64:f := proc(n, x) round(GAMMA(n+x)/GAMMA(x)); end;
seq( round(pochhammer(1/5, n)), n=0..30); # G. C. Greubel, Dec 06 2019
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MATHEMATICA
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Table[Round[Pochhammer[1/5, n]], {n, 0, 30}] (* G. C. Greubel, Dec 06 2019 *)
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PROG
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(PARI) x=1/5; vector(30, n, round(gamma(n-1+x)/gamma(x)) ) \\ G. C. Greubel, Dec 06 2019
(Magma) [Round(Gamma(n+1/5)/Gamma(1/5)): n in [0..30]]; // G. C. Greubel, Dec 06 2019
(Sage) [round(rising_factorial(1/5, n)) for n in (0..30)] # G. C. Greubel, Dec 06 2019
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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