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A261622
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Decimal expansion of the Dirichlet beta function at 1/3.
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3
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6, 1, 7, 8, 5, 5, 0, 8, 8, 8, 4, 8, 8, 5, 2, 0, 6, 6, 0, 7, 2, 5, 3, 8, 9, 9, 4, 7, 2, 7, 9, 9, 3, 1, 6, 5, 7, 1, 0, 6, 2, 3, 5, 4, 7, 8, 9, 9, 3, 8, 6, 5, 0, 0, 2, 2, 5, 5, 1, 5, 2, 8, 2, 2, 9, 5, 6, 0, 7, 7, 8, 0, 5, 2, 7, 2, 5, 0, 4, 4, 6, 5, 4, 1, 0, 1, 3, 9, 3, 4, 6, 1, 5, 5, 3, 9, 9, 5, 7, 0, 3, 7, 5, 6, 1
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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(1/3) = (zeta(1/3, 1/4) - zeta(1/3, 3/4))/2^(2/3).
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EXAMPLE
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0.6178550888488520660725389947279931657106235478993865002255152822956...
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MAPLE
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evalf(Sum((-1)^n/(2*n+1)^(1/3), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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RealDigits[DirichletBeta[1/3], 10, 105]//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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