1,8

Row sums = A036469, (partial sums of A000009).

The triangle = partial sums of A152140 starting from the top down, by columns.

Triangle by rows, A000012 * A152140, where A000012 = an infinite lower triangular matrix with all 1's: [1; 1,1; 1,1,1;...].

First few rows of the triangle =

1;

1, 1;

1, 1, 1;

1, 2, 1, 1;

1, 2, 2, 1, 1;

1, 3, 2, 2, 1, 1;

1, 3, 4, 2, 2, 1, 1;

1, 4, 4, 4, 2, 2, 1, 1;

1, 4, 6, 4, 4, 2, 2, 1, 1;

1, 5, 6, 7, 4, 4, 2, 2, 1, 1;

1, 5, 9, 7, 7, 4, 4, 2, 2, 1, 1;

1, 6, 9, 11, 7, 7, 4, 4, 2, 2, 1, 1;

1, 6, 12, 11, 12, 7, 7, 4, 4, 2, 2, 1, 1;

1, 7, 12, 16, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;

1, 7, 16, 16, 18, 12, 12, 7, 7, 4, 4, 2, 2, 1, 1;

1, 8, 16, 23, 18, 19, 12, 19, 7, 7, 4, 4, 2, 2, 1, 1;

...

A152140, A036469, A000009

Sequence in context: A058398 A091499 A137350 this_sequence A114087 A008284 A114088

Adjacent sequences: A166237 A166238 A166239 this_sequence A166241 A166242 A166243

nonn,tabl

Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 09 2009