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A211163
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Numerator of (-1/Pi^n) * integral_{0..1} (log(1-1/x)^n) dx.
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1
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2, 0, 8, 0, 32, 0, 128, 0, 2560, 0, 1415168, 0, 57344, 0, 118521856, 0, 5749735424, 0, 91546451968, 0, 1792043646976, 0, 1982765704675328, 0, 286994513002496, 0, 3187598700536922112, 0, 4625594563496048066560
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OFFSET
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2,1
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COMMENTS
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Conjecture: sequence of denominators is A141459.
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LINKS
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EXAMPLE
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2*Pi^2/3, 0, 8*Pi^4/15, 0, 32*Pi^6/21, 0, 128*Pi^8/15, 0, 2560*Pi^10/33, ...
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MATHEMATICA
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a[n_] := (-1/Pi^n)*Numerator[Integrate[Log[1 - 1/x]^n, {x, 0, 1}]]; Table[Print[an = a[n]]; an, {n, 2, 30}]
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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