A177446 Triangle read by rows: A000012 * A177444 * the diagonalized variant of A120562.

1, 2, 0, 2, 1, 0, 3, 2, 0, 0, 3, 2, 1, 0, 0, 3, 3, 2, 0, 0, 0, 3, 3, 2, 2, 0, 0, 0, 3, 3, 3, 4, 0, 0, 0, 0, 3, 3, 3, 4, 1, 0, 0, 0, 0, 3, 3, 3, 6, 2, 0, 0, 0, 0, 0, 3, 3, 3, 6, 2, 2, 0, 0, 0, 0, 0, 3, 3, 3, 6, 3, 4, 0, 0, 0, 0, 0, 0, 3, 3, 3, 6, 3, 4, 2, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Gary W. Adamson, May 08 2010

Keywords

• nonn
• tabl

Comments

Row sums = A177445. Rows apparently tend to 3 * A120562 = 3 * (1, 1, 1, 2, 1, 2, 2, 3, 1, 3, ...).

Examples

			First few rows of the triangle =
1;
2, 0;
2, 1, 0;
3, 2, 0, 0;
3, 2, 1, 0, 0;
3, 3, 2, 0, 0, 0;
3, 3, 2, 2, 0, 0, 0;
3, 3, 3, 4, 0, 0, 0, 0;
3, 3, 3, 4, 1, 0, 0, 0, 0;
3, 3, 3, 6, 2, 0, 0, 0, 0, 0;
3, 3, 3, 6, 2, 2, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 4, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 4, 2, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 6, 4, 0, 0, 0, 0, 0, 0, 0;
3, 3, 3, 6, 3, 6, 4, 3, 0, 0, 0, 0, 0, 0, 0;
...
		

Crossrefs

Cf. A120562, A177444, A177445.

Formula

Triangle read by rows, M*Q*R; such that M = an infinite lower triangular matrix with all 1's, Q = triangle A177444, and R = the diagonalized variant of A120562 (A120562 in the diagonal and the rest zeros).

Extensions

Definition corrected by Georg Fischer, May 31 2023