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%I #9 Apr 13 2023 08:29:57
%S 1,1,2,12,60,440,3810,37212,430696,5482080,78252390,1227201140,
%T 20955546348,388492703040,7745445183658,165550236166980,
%U 3773990094033360,91401848785134272,2344168680183033678,63455096201600595060,1808160553359068792020
%N Expansion of e.g.f. 1/(1 - x * exp(-x * (exp(-x) - 1))).
%F a(n) = n! * Sum_{i=0..n} (-1)^(n-i) * ( Sum_{j=0..n-i} i^j * Stirling2(n-i-j,j)/(n-i-j)! ).
%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*exp(-x*(exp(-x)-1)))))
%Y Cf. A362245, A362246, A362247.
%Y Cf. A362237.
%K nonn
%O 0,3
%A _Seiichi Manyama_, Apr 12 2023
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