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A258709
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Triangle of generalized Catalan numbers read by rows.
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1
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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)
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OFFSET
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0,4
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LINKS
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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
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EXAMPLE
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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,
...
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CROSSREFS
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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
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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N. J. A. Sloane, Jun 13 2015
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EXTENSIONS
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Corrected and extended by Manfred Scheucher, Jul 25 2015
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STATUS
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approved
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