A365299 Expansion of e.g.f. exp(x+exp(x)-1)/(2-exp(x)).

1, 3, 12, 61, 381, 2854, 25135, 255763, 2961302, 38499695, 555711129, 8820603268, 152715847805, 2864261821087, 57852085590444, 1251947417652537, 28898881499645833, 708768867850115382, 18405673844236534531, 504521729588383683391, 14557420093089617559550, 441040274672429261701475

Offset

0,2

Links

Michael De Vlieger, Table of n, a(n) for n = 0..424

Zhanar Berikkyzy, Pamela E. Harris, Anna Pun, Catherine Yan, and Chenchen Zhao, Combinatorial Identities for Vacillating Tableaux, arXiv:2308.14183 [math.CO], 2023. See pp. 19, 29.

Mathematica

With[{nn = 21}, CoefficientList[Series[Exp[x + Exp[x] - 1]/(2 - Exp[x]), {x, 0, nn}], x]*Range[0, nn]! ]

Crossrefs

Sequence in context: A121694 A331616 A158691 * A038171 A258798 A369709

Adjacent sequences: A365296 A365297 A365298 * A365300 A365301 A365302

Keyword

nonn

Author

Michael De Vlieger, Aug 31 2023

Status

approved