A135722 A000012 * A122890.

1, 1, 1, 1, 1, 2, 1, 1, 3, 5, 1, 1, 3, 15, 14, 1, 1, 3, 23, 84, 42, 1, 1, 3, 27, 244, 466, 132, 1, 1, 3, 28, 494, 2444, 2514, 429, 1, 1, 3, 28, 796, 8720, 22022, 13233, 1430, 1, 1, 3, 28, 1094, 24394, 128514, 181841, 68376, 4862

Offset: 0

Author

Gary W. Adamson, Nov 25 2007

Keywords

• nonn
• tabl

Comments

Row sums = A003422: (1, 2, 4, 10, 34, 154, 874, ...).

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, 3,  5;
  1, 1, 3, 15,  14;
  1, 1, 3, 23,  84,   42;
  1, 1, 3, 27, 244,  466,  132;
  1, 1, 3, 28, 494, 2444, 2514, 429;
  ...
		

Crossrefs

Cf. A003422, A122890, A000108.

Formula

A000012 * A122890 as infinite lower triangular matrices.