OFFSET
0,3
COMMENTS
See A301816 for comments and references.
FORMULA
c = Re((4/5)*Pi*Integral_{-oo..oo} log(1/2+i*z)^(5/2)/(exp(-Pi*z)+exp(Pi*z))^2 dz) where i is the imaginary unit.
EXAMPLE
c = 0.1061680251833883309118041161434553083606726463282760881731396491647151...
MAPLE
Sti := x -> (4*Pi/(x + 1))*int(log(1/2 + I*z)^(x + 1)/(exp(-Pi*z) + exp(Pi*z))^2, z=0..64): Sti(3/2): Re(evalf(%, 100)); # Note that this is an approximation which needs a larger domain of integration and higher precision if used for more values than are in the Data section.
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Peter Luschny, Apr 09 2018
STATUS
approved