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Column 1 of triangle A112911.
5

%I #3 Mar 30 2012 18:36:51

%S 1,2,8,44,298,2358,21154,211100,2313030,27566654,354806116,4903884712,

%T 72444584732,1139381007880,19012236634968,335560664081388,

%U 6247230709277958,122375974186267566,2516528486416495240

%N Column 1 of triangle A112911.

%F a(n) = Sum_{k=0..n-1} (n-k+1)*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+2,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+2,2])}

%Y Cf. A088716, A112911.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Oct 06 2005