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Nearest integer to Gamma(n + 3/11)/Gamma(3/11).
2

%I #16 Sep 23 2022 21:50:14

%S 1,0,0,1,3,11,58,365,2653,21951,203550,2091015,23571445,289285911,

%T 3839613004,54801749237,836972170164,13619819859948,235251433944553,

%U 4298685292986838,82847389283019056,1679542528192113596

%N Nearest integer to Gamma(n + 3/11)/Gamma(3/11).

%C Gamma(n + 3/11)/Gamma(3/11) = 1, 3/11, 42/121, 1050/1331, 37800/14641, 1776600/161051, 103042800/1771561, ... - _R. J. Mathar_, Sep 04 2016

%H G. C. Greubel, <a href="/A020012/b020012.txt">Table of n, a(n) for n = 0..450</a>

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

%t Table[Round[Gamma[n + 3/11]/Gamma[3/11]], {n, 0,50}] (* _G. C. Greubel_, Jan 19 2018 *)

%o (PARI) for(n=0,30, print1(round(gamma(n+3/11)/gamma(3/11)), ", ")) \\ _G. C. Greubel_, Jan 19 2018

%o (Magma) [Round(Gamma(n +3/11)/Gamma(3/11)): n in [0..30]]; // _G. C. Greubel_, Jan 19 2018

%Y Cf. A020057, A020102.

%K nonn

%O 0,5

%A _Simon Plouffe_