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A091660
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Decimal expansion of -PolyGamma(2,(1+sqrt(3))/2)/2.
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1
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5, 2, 6, 9, 3, 9, 1, 1, 3, 5, 4, 1, 2, 6, 3, 6, 1, 9, 2, 1, 7, 2, 1, 8, 7, 3, 3, 8, 8, 4, 0, 3, 7, 0, 9, 1, 9, 6, 3, 8, 5, 0, 9, 0, 0, 3, 0, 6, 4, 6, 9, 9, 1, 8, 9, 0, 3, 7, 3, 8, 5, 0, 3, 7, 4, 4, 7, 2, 8, 9, 1, 3, 5, 8, 8, 5, 0, 3, 7, 0, 5, 8, 0, 9, 2, 3, 2, 0, 1, 4, 6, 3, 1, 7, 8, 4, 4, 4, 0, 6, 7, 3
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OFFSET
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0,1
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LINKS
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FORMULA
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Equals 2*Integral_{x >= 0} x^2*csch(x)/e^(sqrt(3)*x) dx.
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EXAMPLE
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0.526939113...
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MATHEMATICA
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RealDigits[-PolyGamma[2, (1+Sqrt[3])/2]/2, 10, 100][[1]] (* Vaclav Kotesovec, Aug 15 2015 *)
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PROG
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(PARI)
polygamma(n, x) = if (n == 0, psi(x), (-1)^(n+1)*n!*zetahurwitz(n+1, x));
(PARI)
2*intnum(x=0, [oo, 11/4], x^2/(sinh(x)*exp(sqrt(3)*x))) \\ Gheorghe Coserea, Sep 30 2018
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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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