1,4

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

Left border = A000108, right border = A125275.

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

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.

First few rows of the triangle =

1;

1, 1;

2, 3, 2;

5, 9, 10, 7;

14, 28, 40, 49, 31;

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

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

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

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

...

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

A125275, Cf. A000108, A039599

Sequence in context: A110642 A079535 A050159 this_sequence A059098 A082050 A162687

Adjacent sequences: A147291 A147292 A147293 this_sequence A147295 A147296 A147297

eigen,nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 05 2008