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A362701
Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^3/6))).
1
1, 1, 4, 27, 260, 3205, 48276, 859453, 17656696, 411139233, 10700380520, 307819026031, 9698757574716, 332170854765373, 12286858280098780, 488160559069250985, 20732661511284180656, 937357753835195873857, 44948438093966732331984
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} (n-3*k)^(n-2*k) / (6^k * k! * (n-3*k)!).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x*exp(x^3/6)))))
CROSSREFS
Cf. A362705.
Sequence in context: A374812 A302836 A301335 * A376107 A177379 A052813
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 30 2023
STATUS
approved