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%I #18 Jul 10 2022 09:41:19
%S 1,0,0,0,24,120,360,840,21840,365904,3633840,26619120,239512680,
%T 3943797000,69258333144,997361197560,12707273822880,179576670930720,
%U 3215428464641760,62865157116396384,1167555972633639480,20756362432008412440,386561667091927394760
%N Expansion of e.g.f. exp(x^4 * exp(x)).
%H Seiichi Manyama, <a href="/A292979/b292979.txt">Table of n, a(n) for n = 0..487</a>
%F a(n) = (-1)^n * A292969(n).
%F a(n) = n! * Sum_{k=0..floor(n/4)} k^(n-4*k)/(k! * (n-4*k)!). - _Seiichi Manyama_, Jul 10 2022
%o (PARI) x='x+O('x^66); Vec(serlaplace(exp(x^4*exp(x))))
%o (PARI) a(n) = n!*sum(k=0, n\4, k^(n-4*k)/(k!*(n-4*k)!)); \\ _Seiichi Manyama_, Jul 10 2022
%Y Column k=4 of A292978.
%Y Cf. A292969.
%K nonn
%O 0,5
%A _Seiichi Manyama_, Sep 27 2017
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