A133727 A051731 * A007438 as a diagonalized matrix.

1, 1, 2, 1, 0, 5, 1, 2, 0, 7, 1, 0, 0, 0, 14, 1, 2, 5, 0, 0, 13, 1, 0, 0, 0, 0, 0, 27, 1, 2, 0, 7, 0, 0, 0, 26, 1, 0, 5, 0, 0, 0, 0, 0, 39, 1, 2, 0, 0, 14, 0, 0, 0, 0, 38

Offset: 1

Author

Gary W. Adamson, Sep 21 2007

Keywords

• nonn
• tabl

Comments

Row sums = the triangular numbers: (1, 3, 6, 10, 15, ...).

Right diagonal = A007438.

Examples

			First few rows of the triangle:
  1;
  1,  2;
  1,  0,  5;
  1,  2,  0,  7;
  1,  0,  0,  0, 14;
  1,  2,  5,  0,  0, 13;
  1,  0,  0,  0,  0,  0, 27;
  ...
		

Crossrefs

Cf. A007438, A051731.

Formula

Inverse Mobius transform of A007438 as a diagonalized matrix; i.e., A051731 * (1; 0,2 0,0,5; 0,0,0,7; ...) where A007438 = (1, 2, 5, 7, 14, 13, 27, ...), the Mobius transform of the triangular numbers.