OFFSET
0,2
COMMENTS
See the references given in A301815.
FORMULA
Let beta(r) be the real part of Integral_{-oo..oo} (log(1/2 + i*z)^r / (exp(-Pi*z) + exp(Pi*z))^2) dz, where i denotes the imaginary unit. The constant equals beta(1/2) and A301815 equals -beta(1).
EXAMPLE
Equals
0.03762549204826043264994372728978762248544767906044519708664851302092...
MAPLE
Re((1/2)*int(sqrt(log(1/2 + I*z))*sech(Pi*z)^2, z=0..64)): evalf(%, 100);
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Peter Luschny, Apr 13 2018
STATUS
approved