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%I #12 Mar 01 2015 07:14:01
%S 2,9,3,7,5,5,9,6,5,3,3,8,6,0,9,9,5,4,7,1,7,6,8,1,6,1,0,3,2,0,5,4,6,1,
%T 7,6,6,2,0,6,2,5,3,5,9,6,7,9,8,4,3,0,5,0,1,4,9,5,7,8,9,8,8,6,3,3,3,9,
%U 6,0,4,3,0,4,0,8,7,5,0,2,2,7,3,6,1,0,2,7,2,4,3,3,2,7,3,7,4,8,4,9,5,7
%N Decimal expansion of G(1/4) where G is the Barnes G-function.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BarnesG-Function.html">Barnes G-Function</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Barnes_G-function">Barnes G-function</a>
%F G(1/4) * G(3/4) = A087013 * A087015 = exp(3/16) / (A^(9/4) * 2^(1/8) * Pi^(1/4) * GAMMA(1/4)^(1/2)), where A = A074962 = 1.2824271291... is the Glaisher-Kinkelin constant. - _Vaclav Kotesovec_, Mar 01 2015
%e 0.29375...
%t E^(3/32 - Catalan/(4*Pi))/(Glaisher^(9/8)*Gamma[1/4]^(3/4))
%t (* Or, since version 7.0, *) RealDigits[BarnesG[1/4], 10, 102] // First (* _Jean-François Alcover_, Jul 11 2014 *)
%o (PARI) exp(9/8*zeta'(-1)-Catalan/4/Pi)/gamma(1/4)^(3/4) \\ _Charles R Greathouse IV_, Dec 12 2013
%Y Cf. A087014, A087015, A087016, A087017.
%K nonn,cons
%O 0,1
%A _Eric W. Weisstein_, Jul 30 2003
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