OFFSET
1,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
J.-P. Allouche, A note on products involving zeta(3) and Catalan's constant. arXiv:1305.6247v3 [math.NT], 2013-2014, p. 7.
Eric Weisstein's MathWorld, Barnes G-Function
Wikipedia, Barnes G-function
FORMULA
Equals exp(3/32 - Catalan/(4*Pi))*Gamma(1/4)^(1/4)/Glaisher^(9/8).
Equals G(1/4)*Gamma(1/4). - Vaclav Kotesovec, Apr 09 2015
EXAMPLE
1.0650445385309557171597175836949771419373490732697618922213...
MATHEMATICA
RealDigits[BarnesG[5/4], 10, 104] // First
RealDigits[Exp[3/32 - Catalan/(4*Pi)]*Gamma[1/4]^(1/4)/Glaisher^(9/8), 10, 100][[1]] (* G. C. Greubel, Aug 25 2018 *)
PROG
(PARI) exp(3/32 - Catalan/(4*Pi))*gamma(1/4)^(1/4)/exp(3/32-9*zeta'(-1)/8) \\ Charles R Greathouse IV, Jul 01 2016
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Apr 09 2015
STATUS
approved