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A271177
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Decimal expansion of the logarithm of the generalized Glaisher-Kinkelin constant A(15) (negated).
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1
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1, 0, 7, 0, 5, 1, 8, 2, 3, 0, 0, 9, 7, 8, 2, 2, 0, 1, 7, 5, 8, 6, 3, 8, 4, 0, 5, 3, 6, 2, 0, 5, 2, 1, 3, 6, 1, 8, 7, 5, 7, 6, 1, 9, 0, 8, 4, 0, 4, 0, 2, 0, 5, 4, 9, 4, 9, 8, 7, 9, 8, 6, 0, 4, 9, 7, 2, 3, 9, 9, 6, 2, 8, 3, 4, 1, 8, 2, 3, 6, 4, 0, 9, 6, 4, 8, 1, 5, 5, 5, 8, 9, 7, 2, 0, 2
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OFFSET
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1,3
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COMMENTS
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The logarithm of the fifteenth Bendersky constant.
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LINKS
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FORMULA
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log(A(15)) = (1/16)*HarmonicNumber(15)*Bernoulli(16) - RiemannZeta'(-15).
log(A(15)) = (Bernoulli(16)/16)*(EulerGamma + log(2*Pi) - Zeta'(16)/Zeta(16)).
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EXAMPLE
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-1.0705182300978220175863840536205...
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MATHEMATICA
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RealDigits[(BernoulliB[16]/16)*(EulerGamma + Log[2*Pi] - Zeta'[16]/Zeta[16]), 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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