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A081047
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Difference of Stirling numbers of the first kind.
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3
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1, 0, -1, -5, -26, -154, -1044, -8028, -69264, -663696, -6999840, -80627040, -1007441280, -13575738240, -196287356160, -3031488633600, -49811492505600, -867718162483200, -15974614352793600, -309920046408806400, -6320046028584960000
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OFFSET
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0,4
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LINKS
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FORMULA
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E.g.f.: (1+log(1-x))/(1-x). - Paul Barry, Nov 26 2008
a(n) = abs(s(n+1, 1))-abs(s(n+1, 2)), where s(n, m) is a (signed) Stirling number of the first kind (A008275). (corrected by Wolfdieter Lang, Jun 20 2011)
a(n) = A094645(n+2,2), n>=0. - _Wolfdieter Lang, Jun 20 2011
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MATHEMATICA
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With[{nn = 100}, CoefficientList[Series[(1 + Log[1 - x])/(1 - x), {x, 0, nn}], x] Range[0, nn]!] (* G. C. Greubel, Jan 21 2017 *)
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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