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A362247 Expansion of e.g.f. exp(x * exp(x * (exp(x) - 1))). 4
1, 1, 1, 7, 37, 201, 1531, 12433, 112729, 1158769, 12920311, 157007841, 2063354437, 29052921769, 436908104179, 6981843029281, 118083965782321, 2106973566128865, 39538081855597807, 778216030845226561, 16027517577057849181, 344635879922587951321 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
LINKS
FORMULA
a(n) = n! * Sum_{i=0..n} ( 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
Sequence in context: A124610 A002683 A319013 * A126475 A274674 A255672
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 12 2023
STATUS
approved

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Last modified February 23 01:54 EST 2024. Contains 370265 sequences. (Running on oeis4.)