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A261623
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Decimal expansion of the Dirichlet beta function at 1/4.
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3
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5, 9, 0, 7, 2, 3, 0, 5, 6, 4, 4, 2, 4, 9, 4, 7, 3, 1, 8, 6, 5, 9, 5, 9, 1, 5, 3, 5, 1, 1, 5, 6, 2, 0, 5, 9, 7, 9, 8, 3, 6, 7, 4, 1, 7, 2, 3, 9, 1, 1, 4, 4, 0, 0, 8, 2, 7, 7, 1, 8, 7, 6, 5, 9, 3, 0, 0, 5, 8, 3, 1, 8, 2, 0, 6, 6, 4, 5, 9, 6, 0, 9, 6, 9, 2, 8, 7, 7, 2, 6, 1, 3, 4, 1, 4, 2, 0, 1, 1, 7, 3, 9, 4
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OFFSET
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0,1
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LINKS
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FORMULA
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beta(1/4) = (zeta(1/4, 1/4) - zeta(1/4, 3/4))/sqrt(2).
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EXAMPLE
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0.59072305644249473186595915351156205979836741723911440082771876593...
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MAPLE
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evalf(Sum((-1)^n/(2*n+1)^(1/4), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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RealDigits[DirichletBeta[1/4], 10, 103]//First
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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