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Eigentriangle, row sums = A125275
2

%I #2 Mar 30 2012 17:25:33

%S 1,1,1,2,3,2,5,9,10,7,14,28,40,49,31,42,90,150,245,279,162,132,297,

%T 550,1078,1674,1782,968,429,1001,2002,4459,8463,12474,12584,6481,1430,

%U 3432,7280,17836,39060,71280,100672,97215,47893

%N Eigentriangle, row sums = A125275

%C Row sums = A125275 starting with offset 1: (1, 2, 7, 31, 162, 968,...).

%C Left border = A000108, right border = A125275.

%C Sum of n-th row terms = rightmost term of next row.

%F A147294 = Triangle A039599 * (A125275 * 0^(n-k)); where (A125275 * 0^(n-k)) = an infinite lower triangular matrix with A125275: (1, 1, 2, 7, 31, 162,...) as the main diagonal and the rest zeros.

%e First few rows of the triangle =

%e 1;

%e 1, 1;

%e 2, 3, 2;

%e 5, 9, 10, 7;

%e 14, 28, 40, 49, 31;

%e 42, 90, 150, 245, 279, 162;

%e 132, 297, 550, 1078, 1674, 1782, 968;

%e 429, 1001, 2002, 4459, 8463, 12474, 12584, 6481;

%e 1430, 3432, 7280, 17836, 39060, 71280, 100672, 97215, 47893;

%e ...

%e Row 4 = (5, 9, 10, 7) = termwise products of (5, 9, 5, 1) and (1, 1, 2, 7)

%Y A125275, Cf. A000108, A039599

%K eigen,nonn,tabl

%O 1,4

%A _Gary W. Adamson_, Nov 05 2008