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A345210
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Decimal expansion of Integral_{x=0..1} log(G(x+1)) dx, where G(x) is the Barnes G-function.
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0
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4, 5, 2, 9, 3, 6, 4, 5, 8, 6, 8, 1, 0, 1, 1, 7, 9, 1, 2, 8, 9, 9, 2, 2, 1, 4, 3, 8, 3, 9, 1, 4, 2, 0, 1, 0, 6, 9, 2, 9, 2, 6, 4, 2, 8, 1, 5, 1, 5, 4, 8, 0, 5, 7, 4, 2, 1, 9, 7, 8, 2, 4, 1, 9, 3, 3, 3, 0, 1, 1, 5, 2, 9, 7, 1, 4, 2, 5, 1, 9, 9, 9, 4, 9, 8, 8, 1
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OFFSET
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-1,1
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REFERENCES
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H. M. Srivastava and Junesang Choi, Zeta and q-Zeta Functions and Associated Series and Integrals, Elsevier, 2012. See p. 53.
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LINKS
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FORMULA
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Equals 1/12 + log(2*Pi)/4 - 2*log(A), where A is the Glaisher-Kinkelin constant (A074962) (Barnes, 1899).
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EXAMPLE
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0.04529364586810117912899221438391420106929264281515480574...
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MATHEMATICA
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RealDigits[1/12 + Log[2*Pi]/4 - 2*Log[Glaisher], 10, 100][[1]]
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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