OFFSET
0,3
COMMENTS
Let b(n) = 2*Pi*Integral_{-oo<=x<=oo} log(1/2 + i*x)^n / (exp(-Pi*x) + exp(Pi*x))^2, then B(s) = Sum_{n>=0} b(n)*s^n/n! = -s*zeta(1 - s) is the Bernoulli function.
LINKS
Peter H. N. Luschny, An introduction to the Bernoulli function, arXiv:2009.06743 [math.HO], 2020.
EXAMPLE
0.0082153376812133834646401861710135371428632177816...
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Peter Luschny, Aug 05 2021
STATUS
approved