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A362246 Expansion of e.g.f. exp(x * exp(-x * (exp(-x) - 1))). 3
1, 1, 1, 7, 13, 81, 391, 1093, 18537, 577, 1013131, -54339, 39429853, 424162753, -4130181873, 137131757701, -1733851435439, 29708533549953, -337960798083053, 3890007865959661, -11844138798049659, -662440203084569279, 30135319297423429783 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
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)! )/i!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x*(exp(-x)-1)))))
CROSSREFS
Cf. A347726.
Sequence in context: A177163 A268350 A061521 * A073220 A110455 A177952
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 12 2023
STATUS
approved

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Last modified February 29 23:21 EST 2024. Contains 370428 sequences. (Running on oeis4.)