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 A365037 E.g.f. satisfies A(x) = exp(x * (1 + x/A(x)^3)). 2
 1, 1, 3, -11, -11, 1341, -14339, -168923, 8905065, -85313735, -4604578919, 197455645641, -273728455571, -267002430142187, 9427821270512373, 178475402982086701, -28273343910563670959, 713736314833387866225, 51907546734507018043057 (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( x + LambertW(3*x^2*exp(-3*x))/3 ). a(n) = n! * Sum_{k=0..n} (-3*n+3*k+1)^(k-1) * binomial(k,n-k)/k!. PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x+lambertw(3*x^2*exp(-3*x))/3))) CROSSREFS Cf. A125500, A143768, A363354, A363529, A365035, A365036. Cf. A361092. Sequence in context: A232038 A072980 A128500 * A043051 A024545 A101134 Adjacent sequences: A365034 A365035 A365036 * A365038 A365039 A365040 KEYWORD sign AUTHOR Seiichi Manyama, Aug 17 2023 STATUS approved

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Last modified December 3 21:20 EST 2023. Contains 367540 sequences. (Running on oeis4.)