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%I #9 Aug 31 2023 11:51:41
%S 1,3,12,61,381,2854,25135,255763,2961302,38499695,555711129,
%T 8820603268,152715847805,2864261821087,57852085590444,
%U 1251947417652537,28898881499645833,708768867850115382,18405673844236534531,504521729588383683391,14557420093089617559550,441040274672429261701475
%N Expansion of e.g.f. exp(x+exp(x)-1)/(2-exp(x)).
%H Michael De Vlieger, <a href="/A365299/b365299.txt">Table of n, a(n) for n = 0..424</a>
%H Zhanar Berikkyzy, Pamela E. Harris, Anna Pun, Catherine Yan, and Chenchen Zhao, <a href="https://arxiv.org/abs/2308.14183">Combinatorial Identities for Vacillating Tableaux</a>, arXiv:2308.14183 [math.CO], 2023. See pp. 19, 29.
%t With[{nn = 21}, CoefficientList[Series[Exp[x + Exp[x] - 1]/(2 - Exp[x]), {x, 0, nn}], x]*Range[0, nn]! ]
%K nonn
%O 0,2
%A _Michael De Vlieger_, Aug 31 2023
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