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Nearest integer to Gamma(n + 10/11)/Gamma(10/11).
2

%I #24 Sep 23 2022 21:47:51

%S 1,1,2,5,20,97,573,3956,31285,278721,2761871,30129503,358814994,

%T 4631975383,64426566695,960541539816,15281342678897,258393612570435,

%U 4627594697852333,87503608832116847,1742117303112144502

%N Nearest integer to Gamma(n + 10/11)/Gamma(10/11).

%C Gamma(n + 10/11)/Gamma(10/11) = 1, 10/11, 210/121, 6720/1331, 288960/14641, 15603840/161051, 1014249600/1771561, ... - _R. J. Mathar_, Sep 04 2016

%H Shujing Lyu, <a href="/A020005/b020005.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 + #]/Gamma[#]] &[10/11], {n, 0, 20}] (* _Michael De Vlieger_, Apr 18 2016 *)

%o (PARI) a(n) = round(gamma(n+10/11)/gamma(10/11)); \\ _Michel Marcus_, Apr 19 2016

%o (Magma) [Round(Gamma(n +10/11)/Gamma(10/11)): n in [0..30]]; // _G. C. Greubel_, Jan 19 2018

%Y Cf. A254322, A020050, A020095.

%K nonn

%O 0,3

%A _Simon Plouffe_