%I #9 Dec 22 2016 23:36:43
%S 1,0,1,4,108,12672,9158400,46133452800,1860226228224000,
%T 675033837113180160000,2449564623049780415692800000,
%U 97778774486746890792389836800000000,46836189690981206780971946461888512000000000,291649927271171583734813938085106400257638400000000000
%N a(n) = A000178(n) * Sum_{k=0..n} (-1)^k/k!.
%H Daniel Suteu, <a href="/A279046/b279046.txt">Table of n, a(n) for n = 0..19</a>
%F a(n) ~ A000178(n) / e.
%F a(0) = 1, a(n) = n! * a(n-1) + (-1)^n * A000178(n-1).
%Y Cf. A000178.
%K nonn,easy
%O 0,4
%A _Daniel Suteu_, Dec 04 2016