OFFSET
0,4
LINKS
G. C. Greubel and D. Turner, Table of n, a(n) for n = 0..175
Eric Weisstein's World of Mathematics, Barnes G-Function.
Wikipedia, Barnes G-function.
FORMULA
G(x) ~ exp^(-3*x^2/4 + x + zeta'(-1)) * x^(x^2/2 - x + 5/12) * (2*Pi)^((x-1)/2) * (1 + (-1/12)/x + (-1/1440)/x^2 + (157/51840)/x^3 + (65911/87091200)/x^4 + ...).
MATHEMATICA
Numerator[Exp[Series[LogBarnesG[x] - 1/12 - x + 3 x^2/4 + Log[Glaisher] + Log[2 Pi]/2 - x Log[2 Pi]/2 - 5 Log[x]/12 + x Log[x] - x^2 Log[x]/2, {x, Infinity, 20}]][[3]]]
CROSSREFS
KEYWORD
sign,frac
AUTHOR
Vladimir Reshetnikov, Nov 10 2015
STATUS
approved