A133734 A000012 * A002865 as a diagonalized matrix.

1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 4, 1, 0, 1, 1, 2, 2, 4, 4, 1, 0, 1, 1, 2, 2, 4, 4, 7, 1, 0, 1, 1, 2, 2, 4, 4, 7, 8

Offset: 0

Author

Gary W. Adamson, Sep 22 2007

Keywords

• nonn
• tabl

Comments

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

Examples

			First few rows of the triangle:
  1;
  1, 0;
  1, 0, 1;
  1, 0, 1, 1;
  1, 0, 1, 1, 2;
  1, 0, 1, 1, 2, 2;
  1, 0, 1, 1, 2, 2, 4;
  1, 0, 1, 1, 2, 2, 4, 4;
  1, 0, 1, 1, 2, 2, 4, 4, 7;
  ...
		

Crossrefs

Cf. A000041, A002865.

Formula

A000012 * A002865 as a diagonalized matrix, the latter = an infinite lower triangular matrix with A002865: (1, 0, 1, 1, 2, 2, 4, 4, 7, 8, ...) as the main diagonal and the rest zeros. Triangle read by rows, n-th row = first (n+1) terms of A002865.