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A020049 a(n) = floor(Gamma(n+1/12)/Gamma(1/12)).

%I A020049 #13 Sep 08 2022 08:44:44
%S A020049 1,0,0,0,0,2,12,73,518,4192,38083,384010,4256112,51428023,672849973,
%T A020049 9475970454,142929221023,2298778304796,39270796040272,710146895061597,
%U A020049 13551969914092152,272168729108017392,5738224038694033364
%N A020049 a(n) = floor(Gamma(n+1/12)/Gamma(1/12)).
%H A020049 G. C. Greubel, <a href="/A020049/b020049.txt">Table of n, a(n) for n = 0..450</a>
%p A020049 Digits := 64:f := proc(n,x) trunc(GAMMA(n+x)/GAMMA(x)); end;
%p A020049 seq(floor(pochhammer(1/12,n)), n = 0..25); # _G. C. Greubel_, Dec 01 2019
%t A020049 Floor[Pochhammer[1/12, Range[0, 25]]] (* _G. C. Greubel_, Dec 01 2019 *)
%o A020049 (PARI) x=1/12; vector(26, n, gamma(n-1+x)\gamma(x) ) \\ _G. C. Greubel_, Dec 01 2019
%o A020049 (Magma) [Floor(Gamma(n+1/12)/Gamma(1/12)): n in [0..25]]; // _G. C. Greubel_, Dec 01 2019
%o A020049 (Sage) [floor(rising_factorial(1/12, n)) for n in (0..25)] # _G. C. Greubel_, Dec 01 2019
%Y A020049 Cf. A020004, A020094.
%K A020049 nonn
%O A020049 0,6
%A A020049 _Simon Plouffe_