%I #19 May 03 2021 02:13:29
%S 1,-1,0,0,0,24,-24,-120,-720,-5040,32256,169344,743040,-380160,
%T -91048320,-408710016,-174230784,29842525440,455765667840,
%U 1061427732480,-18914141343744,-379628241094656,-3305984467691520,10588546824468480,458522651844956160,5722461010387021824
%N E.g.f.: exp(-(x + x^2/2 + x^3/3 + x^4/4)).
%H Seiichi Manyama, <a href="/A334570/b334570.txt">Table of n, a(n) for n = 0..500</a>
%F a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(4,n)} a(n-k)/(n-k)!.
%t m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2/2 + x^3/3 + x^4/4)], {x, 0, m}], x] (* _Amiram Eldar_, May 03 2021 *)
%o (PARI) N=40; x='x+O('x^N); Vec(serlaplace(exp(-x-x^2/2-x^3/3-x^4/4)))
%Y Column 4 of A334568.
%Y Cf. A070945, A334564.
%K sign
%O 0,6
%A _Seiichi Manyama_, May 06 2020