OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Barnes G-Function
Wikipedia, Barnes G-function
FORMULA
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
EXAMPLE
0.84871...
MATHEMATICA
E^(3/32 + Catalan/(4*Pi))/(Glaisher^(9/8)*Gamma[3/4]^(1/4))
(* Or, since version 7.0, *) RealDigits[BarnesG[3/4], 10, 102] // First (* Jean-François Alcover, Jul 11 2014 *)
PROG
(PARI) exp(Catalan/4/Pi+9/8*zeta'(-1))/gamma(3/4)^(1/4) \\ Charles R Greathouse IV, Dec 12 2013
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jul 30 2003
STATUS
approved