A361494 Expansion of e.g.f. 1/(1 - log(2 - exp(x))).
1, -1, 0, 0, -2, -10, -62, -518, -5042, -55914, -700982, -9801022, -151141850, -2548546130, -46648614014, -921144036486, -19518279101570, -441740723440186, -10635049333176902, -271391755745104334, -7317268150934309162, -207850529950047641250
Offset: 0
Keywords
Programs
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Mathematica
With[{nn=30},CoefficientList[Series[1/(1-Log[2-Exp[x]]),{x,0,nn}],x] Range[0,nn]!] (* Harvey P. Dale, Aug 04 2025 *) -
PARI
my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-log(2-exp(x)))))
Formula
a(n) = Sum_{k=0..n} (-1)^k * Stirling2(n,k) * A006252(k).