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A155729 Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).

%I A155729 #3 Mar 31 2012 20:08:03
%S A155729 1,2,1,14,2,13,121,14,6,19,1383,121,42,38,160,19108,1383,363,266,320,
%T A155729 1744,19108,1383,363,266,320,1744,309708,19108,4149,2299,2240,3488,
%U A155729 23184,2751027,309708,57324,26277,19360,24416,46368,364176
%N A155729 Triangle read by rows, M * Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728 * 0^(n-k)).
%C A155729 Row sums = A054765 starting with offset 1: (1, 3, 19, 160, 1744,...).
%C A155729 As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.
%C A155729 A155728 = INVERTi transform of A054765: (1, 3, 19, 160, 1744,...).
%F A155729 M = an infinite lower triangular matrix with A155728 in every column:
%F A155729 (1, 2, 14, 121, 1383, 19108, 309708,...).
%F A155729 Q = an infinite lower triangular matrix with A054765 prefaced with a 1:
%F A155729 (1, 1, 3, 19, 160, 1744,...) as the main diagonal and the rest zeros.
%e A155729 First few rows of the triangle =
%e A155729 1;
%e A155729 2, 1;
%e A155729 14, 2, 3;
%e A155729 121, 14, 6, 19;
%e A155729 1383, 121, 42, 38, 160;
%e A155729 19108, 1383, 363, 266, 320, 1744;
%e A155729 309708, 19108, 4149, 2299, 2240, 3488, 23184;
%e A155729 2751027, 309708, 57324, 26277, 19360, 24416, 46368, 364176;
%e A155729 ...
%e A155729 Example: Row 4 = = (121, 14, 6, 19) termwise products of (121, 14, 2, 1) and (1, 1, 3, 19).
%Y A155729 Cf. A054765, A155728
%K A155729 eigen,nonn,tabl
%O A155729 1,2
%A A155729 Gary W. Adamson & _Alexander R. Povolotsky_, Jan 25 2009