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A261624 Decimal expansion of the Dirichlet beta function at 1/5. 4
5, 7, 3, 7, 1, 0, 8, 4, 7, 1, 8, 5, 9, 4, 6, 6, 4, 9, 3, 5, 7, 2, 6, 6, 5, 2, 7, 8, 3, 2, 0, 0, 4, 1, 7, 0, 4, 3, 6, 2, 4, 6, 9, 3, 8, 2, 4, 2, 6, 9, 0, 9, 3, 7, 6, 1, 8, 9, 5, 3, 6, 2, 8, 2, 5, 0, 7, 9, 2, 5, 3, 6, 1, 1, 2, 6, 5, 9, 4, 2, 1, 5, 7, 5, 0, 6, 2, 8, 3, 0, 1, 9, 3, 3, 1, 7, 4, 2, 4, 8, 8, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Dirichlet Beta Function
FORMULA
beta(1/5) = (zeta(1/5, 1/4) - zeta(1/5, 3/4))/2^(2/5).
EXAMPLE
0.57371084718594664935726652783200417043624693824269093761895362825...
MAPLE
evalf(Sum((-1)^n/(2*n+1)^(1/5), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015
MATHEMATICA
RealDigits[DirichletBeta[1/5], 10, 102]//First
CROSSREFS
Cf. A003881 (beta(1)=Pi/4), A006752 (beta(2)=Catalan), A153071 (beta(3)), A175572 (beta(4)), A175571 (beta(5)), A175570 (beta(6)), A261622 (beta(1/3)), A261623 (beta(1/4)).
Sequence in context: A180079 A019844 A155529 * A152081 A264736 A200620
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved

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Last modified February 22 02:03 EST 2024. Contains 370239 sequences. (Running on oeis4.)