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

1,2

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, ...).

Links

Table of n, a(n) for n=1..66.

Example

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.

Sequence in context: A193954 A162997 A112339 * A135233 A125170 A054445

Adjacent sequences: A132805 A132806 A132807 * A132809 A132810 A132811

Keyword

nonn,tabl

Author

Gary W. Adamson, Aug 31 2007

Extensions

Definition corrected by Philippe Deléham, Oct 11 2007

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

Status

approved