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 A362660 E.g.f. satisfies A(x) = exp( x * exp(x^2/2) * A(x) ). 1
 1, 1, 3, 19, 161, 1791, 24847, 413449, 8036625, 178852753, 4486426091, 125279093259, 3854964555697, 129618443364463, 4728625129171959, 186034319795094481, 7851808690935373793, 353903271319498588641, 16966669198377512202643 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. Eric Weisstein's World of Mathematics, Lambert W-Function. FORMULA E.g.f.: exp( -LambertW(-x * exp(x^2/2)) ). a(n) = n! * Sum_{k=0..floor(n/2)} (n-2*k)^k * (n-2*k+1)^(n-2*k-1) / (2^k * k! * (n-2*k)!). PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-lambertw(-x*exp(x^2/2))))) CROSSREFS Cf. A273954, A362661. Cf. A354550, A362654. Sequence in context: A320352 A301921 A054765 * A232691 A057719 A289258 Adjacent sequences: A362657 A362658 A362659 * A362661 A362662 A362663 KEYWORD nonn AUTHOR Seiichi Manyama, Apr 29 2023 STATUS approved

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Last modified April 17 07:13 EDT 2024. Contains 371756 sequences. (Running on oeis4.)