OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Dirichlet Beta Function.
Wikipedia, Dirichlet beta function.
EXAMPLE
0.72656419327404362644162413010113341550433084723912002242028410346454317481...
MAPLE
Digits:= 140:
f:= s-> sum((-1)^n/(2*n+1)^s, n=0..infinity):
fsolve(f(x)=x, x); # Alois P. Heinz, Feb 05 2018
MATHEMATICA
RealDigits[ FindRoot[ DirichletBeta[x] == x, {x, 0}, WorkingPrecision -> 2^7, AccuracyGoal -> 2^8, PrecisionGoal -> 2^7][[1, 2]], 10, 111][[1]] (* Robert G. Wilson v, Jan 07 2018 *)
PROG
(PARI) solve(x=0, 1, sumalt(n=0, ((-1)^n)/(2*n+1)^x)-x)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Michal Paulovic, Dec 31 2017
STATUS
approved