A334565 - OEIS

%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