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Decimal expansion of a constant related to A063902 and A258662.
2

%I #8 Jun 14 2015 12:36:35

%S 4,5,2,1,0,4,2,9,9,1,8,3,4,2,0,5,2,8,8,4,1,2,8,0,8,5,5,3,6,1,0,3,2,7,

%T 9,4,0,5,5,2,5,4,5,1,8,2,2,8,1,8,5,1,3,9,4,7,3,4,7,3,1,3,3,0,6,3,5,1,

%U 4,3,3,3,8,7,5,8,9,3,8,5,2,6,5,9,1,6,5,0,7,6,0,8,9,7,5,6,0,9,3,8,8,5,6,1,8,8

%N Decimal expansion of a constant related to A063902 and A258662.

%F Equals limit n->infinity (A063902(n)/(n!)^2)^(1/n).

%F Equals 32*Pi / (Gamma(1/6) * Gamma(1/3))^2.

%F Equals 2^(17/3) * Pi^2 / (3 * Gamma(1/3)^6).

%e 0.4521042991834205288412808553610327940552545182281851394734731330635...

%p evalf(32*Pi / (GAMMA(1/6) * GAMMA(1/3))^2, 118);

%p evalf(2^(17/3) * Pi^2 / (3 * GAMMA(1/3)^6), 118);

%t RealDigits[32*Pi/(Gamma[1/6]*Gamma[1/3])^2,10,120][[1]]

%Y Cf. A063902, A258662.

%K nonn,cons

%O 0,1

%A _Vaclav Kotesovec_, Jun 14 2015