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Nearest integer to Gamma(n + 9/11)/Gamma(9/11).
2

%I #18 Sep 23 2022 21:48:59

%S 1,1,1,4,16,77,449,3060,23920,210929,2070941,22403814,264772349,

%T 3393900115,46897528867,694936109571,10992625733214,184875978240420,

%U 3294153794102035,61989985034465559,1228528794319408361

%N Nearest integer to Gamma(n + 9/11)/Gamma(9/11).

%C Gamma(n + 9/11)/Gamma(9/11) = 1, 9/11, 180/121, 5580/1331, 234360/14641, 12421080/161051, 794949120/1771561, ... - _R. J. Mathar_, Sep 04 2016

%H G. C. Greubel, <a href="/A020006/b020006.txt">Table of n, a(n) for n = 0..449</a>

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

%t Table[Round[Gamma[n + 9/11]/Gamma[9/11]], {n, 0,50}] (* _G. C. Greubel_, Jan 19 2018 *)

%o (PARI) for(n=0,30, print1(round(gamma(n+9/11)/gamma(9/11)), ", ")) \\ _G. C. Greubel_, Jan 19 2018

%o (Magma) [Round(Gamma(n +9/11)/Gamma(9/11)): n in [0..30]]; // _G. C. Greubel_, Jan 19 2018

%Y Cf. A020051, A020096.

%K nonn

%O 0,4

%A _Simon Plouffe_