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A362244 Expansion of e.g.f. 1/(1 - x * exp(-x * (exp(-x) - 1))). 4
1, 1, 2, 12, 60, 440, 3810, 37212, 430696, 5482080, 78252390, 1227201140, 20955546348, 388492703040, 7745445183658, 165550236166980, 3773990094033360, 91401848785134272, 2344168680183033678, 63455096201600595060, 1808160553359068792020 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
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)! ).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-x*exp(-x*(exp(-x)-1)))))
CROSSREFS
Cf. A362237.
Sequence in context: A061834 A364283 A360590 * A362238 A190425 A145630
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 12 2023
STATUS
approved

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Last modified March 3 07:26 EST 2024. Contains 370499 sequences. (Running on oeis4.)