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Expansion of e.g.f. 1/(1 - log(2 - exp(x))).
1

%I #16 May 11 2023 10:26:34

%S 1,-1,0,0,-2,-10,-62,-518,-5042,-55914,-700982,-9801022,-151141850,

%T -2548546130,-46648614014,-921144036486,-19518279101570,

%U -441740723440186,-10635049333176902,-271391755745104334,-7317268150934309162,-207850529950047641250

%N Expansion of e.g.f. 1/(1 - log(2 - exp(x))).

%F a(n) = Sum_{k=0..n} (-1)^k * Stirling2(n,k) * A006252(k).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-log(2-exp(x)))))

%Y Cf. A217033, A360446.

%Y Cf. A006252, A305988.

%K sign

%O 0,5

%A _Seiichi Manyama_, May 11 2023