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%I #3 Mar 30 2012 18:37:01
%S 1,1,4,13,47,195,908,4674,26327,160825,1057575,7440520,55714863,
%T 442052441,3701932760,32610988520,301289654059,2911657603468,
%U 29363468538215,308365818949091,3365801354839753,38117461277764685
%N Column 3 of triangle A125653; also equals the eigensequence of the matrix cube of A125653.
%C Column k of triangle A125653 equals the eigensequence of matrix power A125653^k for k>=0.
%F a(n) = A125653(n+3,3) = Sum_{k=0..n-1} [A125653^3](n-1,k)*a(k) for n>0 with a(0)=1.
%Y Cf. A125653 (triangle); rows: A125654, A125655, A125657; A125658 (row sums); A125659 (central terms).
%K nonn
%O 0,3
%A _Paul D. Hanna_, Nov 30 2006
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