A166240 Triangle read by rows, A000012 * A152140 as infinite lower triangular matrices.

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, 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

Offset: 1

Author

Gary W. Adamson, Oct 09 2009

Keywords

• nonn
• tabl

Comments

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

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

Examples

			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;
...
		

Crossrefs

A152140, A036469, A000009

Formula

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