A135723 A122890 + A000012 - I, I = Identity matrix.

1, 1, 1, 1, 1, 2, 1, 1, 2, 5, 1, 1, 1, 11, 14, 1, 1, 1, 9, 71, 42, 1, 1, 1, 5, 161, 425, 132, 1, 1, 1, 2, 251, 1979, 2383, 429, 1, 1, 1, 1, 303, 6277, 19509, 12805, 1430, 1, 1, 1, 1, 299, 15675, 106493, 168609, 66947, 4862

Offset: 0

Author

Gary W. Adamson, Nov 25 2007

Keywords

• nonn
• tabl

Comments

Row sums = A005095: (1, 2, 4, 9, 28, 125, 726, ...).

Main diagonal = A000108, the Catalan numbers: (1, 1, 2, 5, 14, 42, 132, ...).

Examples

			First few rows of the triangle:
  1;
  1, 1;
  1, 1, 2;
  1, 1, 2,  5;
  1, 1, 1, 11,  14;
  1, 1, 1,  9,  71,   42;
  1, 1, 1,  5, 161,  425,  132;
  1, 1, 1,  2, 251, 1979, 2383, 429;
  ...
		

Crossrefs

Cf. A122890, A005095, A000108.

Formula

A122890 + A000012 - Identity matrix; as infinite lower triangular matrices.