A137586 Triangle read by rows: A026794 * A054525.

1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 5, 1, 0, 0, 0, 1, 7, 2, 1, 0, 0, 0, 1, 10, 3, 1, 0, 0, 0, 0, 1, 16, 3, 1, 1, 0, 0, 0, 0, 1, 21, 5, 2, 1, 0, 0, 0, 0, 0, 1, 29, 7, 3, 1, 1, 0, 0, 0, 0, 0, 1, 40, 10, 3, 1, 1, 0, 0, 0, 0, 0, 0, 1, 57, 11, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1

Offset: 1

Author

Gary W. Adamson, Jan 27 2008

Keywords

• nonn
• tabl

Comments

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, ...).

A137585 = A054525 * A026794.

Examples

			First few rows of the triangle:
   1;
   0, 1;
   1, 0, 1;
   2, 0, 0, 1;
   3, 1, 0, 0, 1;
   5, 1, 0, 0, 0, 1;
   7, 2, 1, 0, 0, 0, 1;
  10, 3, 1, 0, 0, 0, 0, 1;
  16, 3, 1, 1, 0, 0, 0, 0, 1;
  ...
		

Crossrefs

Cf. A000041, A137585, A026794, A054525.

Formula

A026794 * A054525, as infinite lower triangular matrices.

A026794 = the partition triangle, A054525 = the Mobius transform.