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A173973
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Decimal expansion of Zeta[2,1/3] - 2*Pi^2/3.
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8
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3, 5, 1, 5, 8, 6, 0, 8, 5, 8, 0, 3, 4, 1, 8, 8, 3, 3, 5, 9, 0, 2, 3, 4, 3, 4, 3, 3, 3, 0, 8, 4, 1, 5, 6, 0, 3, 6, 4, 3, 1, 0, 4, 5, 1, 4, 4, 5, 3, 7, 8, 4, 3, 9, 0, 9, 9, 9, 4, 5, 0, 2, 8, 3, 3, 5, 0, 9, 9, 1, 4, 3, 0, 9, 3, 2, 2, 8, 1, 9, 8, 1, 4, 1, 7, 9, 1, 3, 0, 6, 8, 7, 4, 4, 9, 4, 4, 3, 7, 4, 5, 9, 4, 6, 9
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OFFSET
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1,1
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COMMENTS
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Zeta[s,a] is Mathematica's notation for the shifted Zeta-function Sum_{n>=1} 1/(n-a)^s. - R. J. Mathar, Jun 17 2016
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LINKS
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FORMULA
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Equals Zeta[2,1/3] - 2(Pi^2)/3 = 2(Pi^2)/3 - Zeta[2,2/3].
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EXAMPLE
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3.5158608...
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MAPLE
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Zeta(0, 2, 1/3)-2*Pi^2/3 ; evalf(%) ; # R. J. Mathar, Jun 17 2016
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MATHEMATICA
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RealDigits[N[(Zeta[2, 1/3] - Zeta[2, 2/3])/2, 300]]
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PROG
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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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