A258709 Triangle of generalized Catalan numbers read by rows.

1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 9, 4, 2, 1, 1, 21, 8, 4, 2, 1, 1, 51, 17, 8, 4, 2, 1, 1, 127, 37, 16, 8, 4, 2, 1, 1, 323, 82, 33, 16, 8, 4, 2, 1, 1, 835, 185, 69, 32, 16, 8, 4, 2, 1, 1, 2188, 423, 146, 65, 32, 16, 8, 4, 2, 1, 1, 5798, 978, 312, 133, 64, 32, 16, 8, 4, 2, 1, 1

Offset

0,4

Links

Manfred Scheucher, Table of n, a(n) for n = 0..5150

P. R. Stein and M. S. Waterman, On some new sequences generalizing the Catalan and Motzkin numbers, Discrete Math., 26 (1978), 261-272.

P. R. Stein and M. S. Waterman, On some new sequences generalizing the Catalan and Motzkin numbers [Corrected annotated scanned copy] See Table 1.

Manfred Scheucher, Sage Script

Example

Triangle begins
1,
1,1,
2,1,1,
4,2,1,1,
9,4,2,1,1,
21,8,4,2,1,1,
51,17,8,4,2,11,
127,37,16,8,4,2,1,1,
323,82,33,16,8,4,2,1,1,
835,185,69,32,16,8,4,2,1,1,
...

Crossrefs

Cf. A064645.

First 3 columns are A001006, A004148, A004149.

Sequence in context: A111579 A144374 A144018 * A239144 A325528 A156861

Adjacent sequences: A258706 A258707 A258708 * A258710 A258711 A258712

Keyword

nonn,tabl,easy

Author

N. J. A. Sloane, Jun 13 2015

Extensions

Corrected and extended by Manfred Scheucher, Jul 25 2015

Status

approved