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

Author

N. J. A. Sloane, Jun 13 2015

Keywords

• nonn
• tabl
• easy

Examples

			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,
...
		

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

Crossrefs

Cf. A064645.

First 3 columns are A001006, A004148, A004149.

Extensions

Corrected and extended by Manfred Scheucher, Jul 25 2015