3,6

Row sums = A001590 starting (1, 2, 3, 6, 11, 20, 37,...).

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

Let M = an infinite lower triangular matrix with (1, 1, 0, 1, 1, 0,...) in

every column and X = a diagonalized matrix of A001590: (1, 1, 2, 3, 6, 11, 20,

37,...), (i.e. A001590 starting with offset 3 as a diagonal prefaced with a 1; and the rest

zeros). Triangle A145579 = M * X.

First few rows of the triangle =

1;

1, 1;

0, 1, 2;

1, 0, 2, 3;

1, 1, 0, 3, 6;

0, 1, 2, 0, 6, 11;

1, 0, 2, 3, 0, 11, 20;

1, 1, 0, 3, 6, 0, 20, 37;

0, 1, 2, 0, 6, 11, 0, 37, 68;

1, 0, 2, 3, 0, 11, 20, 0, 68, 125;

...

Row 7 = (1, 1, 0, 3, 6) = termwise products of (1, 1, 0, 1, 1) and (1, 1, 2, 3, 6).

A001590

nonn,tabl,new

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 13 2008

Alignment of example rows and unintentional concatenation of values fixed by Charles J. Daniels (chajadan(AT)gmail.com), Dec 05 2009