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A158950 Triangle read by rows, A158948 * (an infinite lower triangular matrix with A000071 prefaced with a 1 as the right border; and the rest zeros).

%I A158950 #2 Mar 30 2012 17:25:34
%S A158950 1,1,1,2,0,2,2,1,0,4,3,0,2,0,7,3,1,0,4,0,12,4,0,2,0,7,0,20,4,1,0,4,0,
%T A158950 12,0,33,5,0,2,0,7,0,20,0,54,5,1,0,4,0,12,0,33,0,88,6,0,2,0,7,0,20,0,
%U A158950 54,0,143
%N A158950 Triangle read by rows, A158948 * (an infinite lower triangular matrix with A000071 prefaced with a 1 as the right border; and the rest zeros).
%C A158950 Row sums = A000071 starting with nonzero terms: (1, 2, 4, 7, 12,...) As a property of eigentriangles, sum of n-th row terms = rightmost term of next row.
%F A158950 Triangle read by rows, A158948 * M; where M = (an infinite lower triangular matrix with A000071 prefaced with a 1 as the right border, and the rest zeros). M = (1; 0,1; 0,0,2; 0,0,0,4; 0,0,0,7;...).
%e A158950 First few rows of the triangle =
%e A158950 1;
%e A158950 1, 1;
%e A158950 2, 0, 2;
%e A158950 2, 1, 0, 4;
%e A158950 3, 0, 2, 0, 7;
%e A158950 3, 1, 0, 4, 0, 12;
%e A158950 4, 0, 2, 0, 7, 0, 20;
%e A158950 4, 1, 0, 4, 0, 12, 0, 33;
%e A158950 5, 0, 2, 0, 7, 0, 20, 0, 54;
%e A158950 5, 1, 0, 4, 0, 12, 0, 33, 0, 88;
%e A158950 6, 0, 2, 0, 7, 0, 20, 0, 54, 0, 143;
%e A158950 6, 1, 0, 4, 0, 12, 0, 33, 0, 88, 0, 232;
%e A158950 7, 0, 2, 0, 7, 0, 20, 0, 54, 0, 143, 0, 376;
%e A158950 7, 1, 0, 4, 0, 12, 0, 33, 0, 88, 0, 232, 0, 609;
%e A158950 ...
%e A158950 Row 4 = (2, 1, 0, 4) = termwise products of (2, 1, 0, 1) and (1, 1, 2, 4);
%e A158950 where (2, 1, 0, 1) = row 4 of triangle A158948, and (1, 1, 2, 4) = the 3 nonzero terms of A000071 prefaced with a 1.
%Y A158950 A158948, A000071
%K A158950 eigen,nonn,tabl
%O A158950 1,4
%A A158950 _Gary W. Adamson_, Mar 31 2009