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Nearest integer to Gamma(n + 5/9)/Gamma(5/9).
2

%I #17 Sep 23 2022 21:52:03

%S 1,1,1,2,8,36,199,1303,9844,84217,804738,8494461,98158214,1232430908,

%T 16706285647,243169268857,3782633071104,62623591954943,

%U 1099391947653438,20399828362013787,398929976857158503

%N Nearest integer to Gamma(n + 5/9)/Gamma(5/9).

%C a(n) equals A020066(n) or A020111(n). - _R. J. Mathar_, May 18 2007

%H G. C. Greubel, <a href="/A020021/b020021.txt">Table of n, a(n) for n = 0..445</a>

%p Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end;

%t Table[Round[Gamma[n + 5/9]/Gamma[5/9]], {n, 0, 50}] (* _G. C. Greubel_, Feb 03 2018 *)

%o (PARI) for(n=0,30, print1(round(gamma(n+5/9)/gamma(5/9)), ", ")) \\ _G. C. Greubel_, Feb 03 2018

%o (Magma) [Round(Gamma(n +5/9)/Gamma(5/9)): n in [0..30]]; // _G. C. Greubel_, Feb 03 2018

%Y Cf. A020066, A020111.

%K nonn

%O 0,4

%A _Simon Plouffe_