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Nearest integer to Gamma(n + 5/8)/Gamma(5/8).
0

%I #14 Sep 23 2022 22:04:59

%S 1,1,1,3,10,45,251,1666,12701,109544,1054364,11202617,130230419,

%T 1644159040,22401666926,327624378798,5119130918712,85105551523595,

%U 1499985345603354,27937227061862467,548268081089050918

%N Nearest integer to Gamma(n + 5/8)/Gamma(5/8).

%C Gamma(n + 5/8)/Gamma(5/8) = 1, 5/8, 65/64, 1365/512, 39585/4096, 1464645/32768, 65909025/262144, ... - _R. J. Mathar_, Sep 04 2016

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

%Y Cf. A020071, A020116, A147625.

%K nonn

%O 0,4

%A _Simon Plouffe_