A134699 Triangle read by rows: A051731^2 * A000012.

1, 3, 1, 3, 1, 1, 6, 3, 1, 1, 3, 1, 1, 1, 1, 9, 5, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 10, 6, 3, 3, 1, 1, 1, 1, 6, 3, 3, 1, 1, 1, 1, 1, 1, 9, 5, 3, 3, 3, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 18, 12, 8, 5, 3, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Gary W. Adamson, Nov 06 2007

Keywords

• nonn
• tabl

Comments

Left column = A007425.

Row sums = A007429: (1, 4, 5, 11, 7, 20, ...).

A134700 = A000012 * A127170.

Examples

			First few rows of the triangle:
   1;
   3, 1;
   3, 1, 1;
   6, 3, 1, 1;
   3, 1, 1, 1, 1;
   9, 5, 3, 1, 1, 1;
   3, 1, 1, 1, 1, 1, 1;
  10, 6, 3, 3, 1, 1, 1, 1;
  ...
		

Crossrefs

Cf. A007425, A007429, A051731, A127170, A134700.

Formula

A051731^2 * A000012 = A127170 * A000012, as infinite lower triangular matrices.

Extensions

More terms from Jinyuan Wang, Apr 29 2025