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%I #19 May 03 2021 02:13:48
%S 1,-1,-1,-1,1,139,151,-1429,-19039,-170281,517231,12144439,108063649,
%T 294730019,-12338255929,-161010756061,-834576525119,10909293532591,
%U 350211422028511,3176429907556079,-8268487440910399,-816508001025525061,-14017265801126968841,-55997107943920795301
%N E.g.f.: exp(-(x + x^2 + x^3 + x^4)).
%H Seiichi Manyama, <a href="/A334564/b334564.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)} k*a(n-k)/(n-k)!.
%t m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2 + x^3 + x^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-x^3-x^4)))
%Y Column 4 of A334561.
%Y Cf. A193930, A334570.
%K sign
%O 0,6
%A _Seiichi Manyama_, May 06 2020