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A362700
Expansion of e.g.f. 1/(1 + LambertW(-x * exp(x^2/2))).
2
1, 1, 4, 30, 304, 3950, 62736, 1177288, 25489024, 625404060, 17149867840, 519779815016, 17253698140416, 622521514670536, 24257636227003648, 1015256151136695840, 45421939756667293696, 2163253599528596482832, 109270502354027312243712
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
a(n) = n! * Sum_{k=0..floor(n/2)} (n-2*k)^(n-k) / (2^k * k! * (n-2*k)!).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(1/(1+lambertw(-x*exp(x^2/2)))))
CROSSREFS
Sequence in context: A348708 A307905 A292629 * A088794 A239841 A145348
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 30 2023
STATUS
approved