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A258709 Triangle of generalized Catalan numbers read by rows. 1
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 (list; table; graph; refs; listen; history; text; internal format)
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 A156861 A122773

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

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Last modified October 20 00:52 EDT 2018. Contains 316378 sequences. (Running on oeis4.)