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%I #3 Mar 30 2012 18:36:51
%S 1,4,24,176,1492,14220,149812,1724760,21519108,289101836,4160750192,
%T 63873461064,1042061108096,18008563271632,328712410879632,
%U 6320649807989400,127724091041379492,2706397280528315148
%N Column 3 of triangle A112911.
%F a(n) = Sum_{k=0..n-1} (n-k+3)*A088716(k)*a(n-k-1) for n>0 with a(0)=1.
%o (PARI) {a(n)=local(A=Mat(1),B);for(m=2,n+4,B=matrix(m,m);for(i=1,m, for(j=1,i, if(j==i,B[i,j]=1,B[i,j]=-j*(A^-1)[i-j,1]);));A=B);return((A^-1)[n+4,4])}
%Y Cf. A112911 (triangle), A088716 (column 0), A112912 (column 1), A112913 (column 2).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Oct 06 2005
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