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%I #13 Sep 23 2022 22:09:33
%S 1,0,0,0,1,4,20,121,862,7000,63876,646743,7195013,87239530,1145018832,
%T 16173391002,244622538903,3944538439806,67550220781672,
%U 1224347751667801,23415650750646696,471239971356764754
%N Nearest integer to Gamma(n + 1/8)/Gamma(1/8).
%C Gamma(n + 1/8)/Gamma(1/8) = 1, 1/8, 9/64, 153/512, 3825/4096, 126225/32768, 5175225/262144, 253586025/2097152, ... - _R. J. Mathar_, Sep 04 2016
%p Digits := 64:f := proc(n,x) round(GAMMA(n+x)/GAMMA(x)); end;
%t Table[Round[Gamma[n+1/8]/Gamma[1/8]],{n,0,30}] (* _Harvey P. Dale_, Sep 05 2020 *)
%Y Cf. A045755, A020073, A020118.
%K nonn
%O 0,6
%A _Simon Plouffe_