A132808 A001263 * A103451 as infinite lower triangular matrices.

1, 2, 1, 5, 3, 1, 14, 6, 6, 1, 42, 10, 20, 10, 1, 132, 15, 50, 50, 15, 1, 429, 21, 105, 175, 105, 21, 1, 1430, 28, 196, 490, 490, 196, 28, 1, 4862, 36, 336, 1176, 1764, 1176, 336, 36, 1, 16796, 45, 540, 2520, 5292, 5292, 2520, 540, 45, 1, 58786, 55, 825, 4950, 13860, 19404, 13860, 4950, 825, 55, 1

Offset: 1

Author

Gary W. Adamson, Aug 31 2007

Keywords

• nonn
• tabl

Comments

Replace left border of the Narayana triangle A001263 with the Catalan sequence A000108 starting (1, 2, 5, 14, 42, ...).

Row sums = A131428 starting (1, 3, 9, 27, 83, ...).

Examples

			First few rows of the triangle:
    1;
    2,  1
    5,  3,  1;
   14,  6,  6,  1;
   42, 10, 20, 10,  1;
  132, 15, 50, 50, 15, 1;
  ...
		

Crossrefs

Cf. A000108, A001263, A103451.

Extensions

Definition corrected by Philippe Deléham, Oct 11 2007

a(40) split and more terms from Georg Fischer, May 29 2023