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%I #18 May 03 2021 02:13:40
%S 1,-1,-1,-1,1,19,871,1091,-12319,-185401,-1871729,-16185401,124125409,
%T 2716194779,30386265911,192015557579,-1519087028159,-90118169425649,
%U -1286566655151329,-8992926875821681,96361313388009281,5078872062174772259,107995117552995689479,996704518577739393619
%N E.g.f.: exp(-(x + x^2 + x^3 + x^4 + x^5)).
%H Seiichi Manyama, <a href="/A334565/b334565.txt">Table of n, a(n) for n = 0..500</a>
%F a(0) = 1 and a(n) = - (n-1)! * Sum_{k=1..min(5,n)} k*a(n-k)/(n-k)!.
%t m = 25; Range[0, m]! * CoefficientList[Series[Exp[-(x + x^2 + x^3 + x^4 + x^5)], {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-x^5)))
%Y Column 5 of A334561.
%Y Cf. A193931, A334571.
%K sign
%O 0,6
%A _Seiichi Manyama_, May 06 2020