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A322470
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Expansion of e.g.f. 1/(1 + log(1 + x)/(1 + log(1 + x)^2/(1 + log(1 + x)^3/(1 + ...)))), a continued fraction.
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2
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1, -1, 3, -8, 4, 236, -3892, 54552, -739440, 9704088, -116868648, 1033709040, 4025264736, -592337009328, 23033374965456, -708140910086400, 19418661884145024, -485092601562305664, 10704418782304457088, -180835985547961196544, 431827528992523301376, 162896031123325288266240
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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) = Sum_{k=0..n} Stirling1(n,k)*A007325(k)*k!.
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MATHEMATICA
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nmax = 21; CoefficientList[Series[1/(1 + ContinuedFractionK[Log[1 + x]^k, 1, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!
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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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