OFFSET
0,1
LINKS
Eric Weisstein's World of Mathematics, Ramanujan Continued Fractions
FORMULA
Equals 2*Integral_{x >= 0} x^2*csch(x)/e^(sqrt(3)*x) dx.
EXAMPLE
0.526939113...
MATHEMATICA
RealDigits[-PolyGamma[2, (1+Sqrt[3])/2]/2, 10, 100][[1]] (* Vaclav Kotesovec, Aug 15 2015 *)
PROG
(PARI)
polygamma(n, x) = if (n == 0, psi(x), (-1)^(n+1)*n!*zetahurwitz(n+1, x));
-polygamma(2, (1+sqrt(3))/2)/2 \\ Gheorghe Coserea, Sep 30 2018
(PARI)
2*intnum(x=0, [oo, 11/4], x^2/(sinh(x)*exp(sqrt(3)*x))) \\ Gheorghe Coserea, Sep 30 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Jan 26 2004
STATUS
approved