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A292908
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Expansion of e.g.f. exp(x^3 * exp(-x)).
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5
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1, 0, 0, 6, -24, 60, 240, -4830, 39984, -180936, -605520, 24616350, -318005160, 2385790836, -86488584, -350543790870, 6917020827360, -79778558317200, 357117438258144, 9237998478286134, -304182278908538040, 5166739059890655660, -48968796671246843160
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^(n-3*k)/(k! * (n-3*k)!). - Seiichi Manyama, Jul 10 2022
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PROG
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(PARI) x='x+O('x^66); Vec(serlaplace(exp(x^3*exp(-x))))
(PARI) a(n) = n!*sum(k=0, n\3, (-k)^(n-3*k)/(k!*(n-3*k)!)); \\ Seiichi Manyama, Jul 10 2022
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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