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A292969
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Expansion of e.g.f. exp(x^4 * exp(-x)).
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3
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1, 0, 0, 0, 24, -120, 360, -840, 21840, -365904, 3633840, -26619120, 239512680, -3943797000, 69258333144, -997361197560, 12707273822880, -179576670930720, 3215428464641760, -62865157116396384, 1167555972633639480, -20756362432008412440
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OFFSET
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0,5
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..floor(n/4)} (-k)^(n-4*k)/(k! * (n-4*k)!). - Seiichi Manyama, Jul 10 2022
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MAPLE
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S:= series(exp(x^4*exp(-x)), x, 51):
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PROG
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(PARI) x='x+O('x^66); Vec(serlaplace(exp(x^4*exp(-x))))
(PARI) a(n) = n!*sum(k=0, n\4, (-k)^(n-4*k)/(k!*(n-4*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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