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 A357948 Expansion of e.g.f. exp( x * exp(-x^2) ). 1
 1, 1, 1, -5, -23, 1, 601, 2731, -13775, -219743, -313199, 15383611, 125451481, -811558175, -20767068503, -37852036949, 2898343066081, 28990920216001, -313289894357855, -8634009894555653, -3214642669500599, 2108734127922999361, 20183394611962437241 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..22. FORMULA a(n) = n! * Sum_{k=0..floor(n/2)} (-n + 2*k)^k/(k! * (n - 2*k)!). PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*exp(-x^2)))) (PARI) a(n) = n!*sum(k=0, n\2, (-n+2*k)^k/(k!*(n-2*k)!)); CROSSREFS Cf. A003725, A358063. Cf. A216688. Sequence in context: A002069 A298233 A215742 * A367721 A282688 A282875 Adjacent sequences: A357945 A357946 A357947 * A357949 A357950 A357951 KEYWORD sign,easy AUTHOR Seiichi Manyama, Oct 29 2022 STATUS approved

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Last modified April 14 00:20 EDT 2024. Contains 371652 sequences. (Running on oeis4.)