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A258942 Decimal expansion of a constant related to A258941. 3

%I #12 Nov 14 2015 12:43:13

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

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

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

%N Decimal expansion of a constant related to A258941.

%F Equals limit n->infinity A258941(n) * (-1)^n / exp(Pi*n/sqrt(3)).

%F Equals 8*exp(Pi/(6*sqrt(3))) * Pi^(5/2) / Gamma(1/6)^3. - _Vaclav Kotesovec_, Nov 14 2015

%e 1.09786330972731096865822482325074133091288087389363045791649825994...

%p evalf(8*exp(Pi/(6*sqrt(3))) * Pi^(5/2) / GAMMA(1/6)^3, 120); # _Vaclav Kotesovec_, Nov 14 2015

%t RealDigits[8*E^(Pi/(6*Sqrt[3]))*Pi^(5/2)/Gamma[1/6]^3, 10, 105][[1]] (* _Vaclav Kotesovec_, Nov 14 2015 *)

%Y Cf. A051273, A115784, A258941.

%K nonn,cons

%O 1,3

%A _Vaclav Kotesovec_, Nov 07 2015

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