OFFSET
0,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Eric Weisstein's MathWorld, Dirichlet Beta Function
Wikipedia, Dirichlet beta function
FORMULA
beta(1/3) = (zeta(1/3, 1/4) - zeta(1/3, 3/4))/2^(2/3).
EXAMPLE
0.6178550888488520660725389947279931657106235478993865002255152822956...
MAPLE
evalf(Sum((-1)^n/(2*n+1)^(1/3), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015
MATHEMATICA
RealDigits[DirichletBeta[1/3], 10, 105]//First
PROG
(PARI) beta(x)=(zetahurwitz(x, 1/4)-zetahurwitz(x, 3/4))/4^x
beta(1/3) \\ Charles R Greathouse IV, Oct 18 2024
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Aug 27 2015
STATUS
approved