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A320257
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a(n) = [x^n] 1/(1 + Sum_{k>=1} k^n*x^k).
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0
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1, -1, -3, -12, 115, 10801, 513128, -31622305, -29139002795, -10674262825020, 8501486817673047, 49739414341982655313, 119603027548636893292304, -1457935338988787721752835601, -53309412371631686621966575526695, -722987647385617983636099803915844108
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = [x^n] 1/(1 + PolyLog(-n,x)), where PolyLog() is the polylogarithm function.
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MATHEMATICA
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Table[SeriesCoefficient[1/(1 + Sum[k^n x^k, {k, 1, n}]), {x, 0, n}], {n, 0, 15}]
Table[SeriesCoefficient[1/(1 + PolyLog[-n, x]), {x, 0, n}], {n, 0, 15}]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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