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%I #2 Mar 30 2012 17:25:33
%S 1,1,1,3,1,2,13,3,2,6,47,13,6,6,24,173,47,26,18,24,96,639,173,94,78,
%T 72,96,384,2357,639,346,282,312,288,384,1536,8695,2357,1278,1038,1128,
%U 1248,1152,1536,6144,32077,8695,4714,3834,4152,4512,4992,4608,6144,24576
%N Eigentriangle, row sums = A084509
%C Row sums = A084509: (1, 2, 6, 24, 96, 384, 1536,...).
%C Right border = A084509 shifted: (1, 1, 2, 6, 24,...).
%C Sum of n-th row terms = rightmost term of next row.
%F Triangle read by rows, M * (A084509 * 0^(n-k)). M = an infinite lower triangular matrix with A084519: (1, 1, 3, 13, 47, 173,...) in every column; and (A084509 * 0^(n-k)) = an infinite lower triangular matrix with A084509 (1, 2, 6, 24, 96,...) shifted: (1, 1, 2, 6, 24, 96, 384,...) as the right diagonal and the rest zeros.
%e First few rows of the triangle =
%e 1;
%e 1, 1;
%e 3, 1, 2;
%e 13, 3, 2, 6;
%e 47, 13, 6, 6, 24;
%e 173, 47, 26, 18, 24, 96;
%e 639, 173, 94, 78, 72, 96, 384;
%e 2357, 639, 346, 282, 312, 288, 384, 1536;
%e ...
%e Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6).
%Y A084509, Cf. A084519
%K eigen,nonn,tabl
%O 1,4
%A _Gary W. Adamson_, Oct 11 2008
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