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A346833
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Decimal expansion of 2*Pi*Integral_{-oo<=x<=oo} log(1/2 + i*x)^3 / (exp(-Pi*x) + exp(Pi*x))^2.
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5
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0, 2, 9, 0, 7, 1, 0, 8, 9, 5, 7, 8, 6, 1, 6, 9, 5, 5, 4, 5, 3, 5, 9, 1, 1, 5, 8, 1, 0, 5, 6, 3, 7, 5, 8, 8, 0, 7, 7, 1, 9, 7, 4, 1, 8, 3, 0, 4, 0, 2, 2, 2, 4, 9, 6, 4, 2, 1, 0, 4, 0, 9, 6, 3, 5, 5, 5, 5, 2, 2, 6, 6, 1, 4, 6, 8, 4, 1, 2, 4, 2, 5, 1, 5, 9, 3, 4, 5, 9
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OFFSET
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0,2
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COMMENTS
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Let b(n) = 2*Pi*Integral_{-oo<=x<=oo} log(1/2 + i*x)^n / (exp(-Pi*x) + exp(Pi*x))^2, then B(s) = Sum_{n>=0} b(n)*s^n/n! = -s*zeta(1 - s) is the Bernoulli function.
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LINKS
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EXAMPLE
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0.0290710895786169554535911581056375880771974183040...
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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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