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A261624
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Decimal expansion of the Dirichlet beta function at 1/5.
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4
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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
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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(1/5) = (zeta(1/5, 1/4) - zeta(1/5, 3/4))/2^(2/5).
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EXAMPLE
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0.57371084718594664935726652783200417043624693824269093761895362825...
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MAPLE
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evalf(Sum((-1)^n/(2*n+1)^(1/5), n=0..infinity), 120); # Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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RealDigits[DirichletBeta[1/5], 10, 102]//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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