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%I #3 Mar 30 2012 18:37:01
%S 1,1,3,8,24,84,335,1495,7381,39912,234360,1483864,10070570,72885794,
%T 560059512,4551397316,38984638708,350888140187,3309798388178,
%U 32639617094998,335781293403494,3596524434640951,40035909421823293
%N Column 2 of triangle A125653; also equals the eigensequence of the matrix square of A125653.
%C Column k of triangle A125653 equals the eigensequence of matrix power A125653^k for k>=0.
%F a(n) = A125653(n+2,2) = Sum_{k=0..n-1} [A125653^2](n-1,k)*a(k) for n>0 with a(0)=1.
%Y Cf. A125653 (triangle); rows: A125654, A125656, A125657; A125658 (row sums); A125659 (central terms).
%K nonn
%O 0,3
%A _Paul D. Hanna_, Nov 30 2006
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