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%I #3 Mar 30 2012 17:25:35
%S 1,0,1,0,2,1,0,1,2,3,0,1,3,6,6,0,0,2,9,12,16,0,0,2,12,18,32,39,0,0,1,
%T 9,24,48,78,103,0,0,1,9,30,64,117,206,263,0,0,0,6,24,80,156,309,526,
%U 690,0,0,0,6,24,96,195,412,789,1380,1791
%N Triangle read by rows, A168316 * its diagonalized eigensequence, A168317.
%C Row sums = A168317: (1, 1, 3, 6, 16, 39, 103, 263,...).
%C Rightmost diagonal = A168317 prefaced with a 1.
%C Sum of n-th row terms = rightmost term of next row.
%F Triangle read by rows, M*Q. M = A168316, Q = an infinite lower triangular matrix
%F with A168317 prefaced with a 1; (1, 1, 1, 3, 6, 16, 39, 103,...) as the right
%F diagonal and the rest zeros.
%e First few rows of the triangle =
%e 1;
%e 0, 1;
%e 0, 2, 1;
%e 0, 1, 2, 3;
%e 0, 1, 3, 6, 6;
%e 0, 0, 2, 9, 12, 16;
%e 0, 0, 2, 12, 18, 32, 39;
%e 0, 0, 1, 9, 24, 48, 78, 103;
%e 0, 0, 1, 9, 30, 64, 117, 206, 263;
%e 0, 0, 0, 6, 24, 80, 156, 309, 526, 690;
%e 0, 0, 0, 6, 24, 96, 195, 412, 789, 1380, 1791;
%e 0, 0, 0, 3, 18, 80, 234, 515, 1052, 2070, 3582, 4693;
%e 0, 0, 0, 3, 18, 80, 273, 618, 1315, 2760, 5373, 9386, 12247;
%e 0, 0, 0, 0, 12, 64, 234, 721, 1578, 3450, 7164, 14079, 24494, 32073;
%e ...
%Y Cf. A168316, A168317
%K nonn,tabl
%O 1,5
%A _Gary W. Adamson_, Nov 22 2009
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