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A271179
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Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(19) (negated).
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1
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6, 3, 8, 9, 4, 2, 2, 3, 0, 8, 8, 8, 3, 7, 2, 6, 0, 5, 2, 2, 0, 9, 7, 2, 8, 6, 3, 5, 2, 9, 0, 1, 9, 3, 4, 7, 3, 3, 7, 9, 2, 0, 4, 8, 5, 3, 5, 7, 1, 2, 9, 7, 7, 0, 2, 6, 9, 3, 0, 7, 0, 2, 4, 4, 1, 8, 6, 3, 4, 2, 3, 0, 5, 1, 1, 7, 4, 8, 4, 3, 0, 2, 2, 4, 0, 6, 4, 8, 2, 1, 4, 6, 6, 9, 4, 6
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OFFSET
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2,1
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COMMENTS
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The logarithm of the nineteenth Bendersky constant.
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LINKS
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FORMULA
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log(A(19)) = (1/20)*HarmonicNumber(19)*Bernoulli(20) - RiemannZeta'(-19).
log(A(19)) = (Bernoulli(20)/20)*(EulerGamma + log(2*Pi) - Zeta'(20)/Zeta(20)).
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EXAMPLE
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-63.894223088837260522097286352901934733...
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MATHEMATICA
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RealDigits[(BernoulliB[20]/20)*(EulerGamma + Log[2*Pi] - Zeta'[20]/Zeta[20]), 10, 100][[1]]
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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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