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%I #12 Mar 01 2015 07:14:13
%S 8,4,8,7,1,7,5,7,9,7,2,3,8,9,9,2,2,8,6,0,8,2,0,7,6,1,2,2,7,7,2,2,9,9,
%T 7,2,7,6,5,5,2,2,5,4,1,3,8,4,8,6,9,3,5,6,9,6,0,3,4,4,9,4,7,4,8,7,2,8,
%U 5,5,5,0,9,9,6,3,0,9,2,5,3,9,9,7,3,4,5,2,3,7,0,3,1,5,0,2,5,9,1,4,9,8
%N Decimal expansion of G(3/4) 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 0.84871...
%t E^(3/32 + Catalan/(4*Pi))/(Glaisher^(9/8)*Gamma[3/4]^(1/4))
%t (* Or, since version 7.0, *) RealDigits[BarnesG[3/4], 10, 102] // First (* _Jean-François Alcover_, Jul 11 2014 *)
%o (PARI) exp(Catalan/4/Pi+9/8*zeta'(-1))/gamma(3/4)^(1/4) \\ _Charles R Greathouse IV_, Dec 12 2013
%Y Cf. A087013, A087014, A087016, A087017.
%K nonn,cons
%O 0,1
%A _Eric W. Weisstein_, Jul 30 2003
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