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A201161
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Irregular triangle read by rows: number of colored Motzkin paths of length n and rank k.
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0
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1, 2, 1, 4, 2, 4, 8, 1, 4, 9, 12, 16, 2, 4, 12, 20, 30, 32, 32, 1, 4, 9, 20, 34, 56, 73, 88, 80, 64, 2, 4, 12, 24, 46, 72, 116, 156, 206, 232, 240, 192, 128
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refs;
listen;
history;
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internal format)
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OFFSET
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0,2
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COMMENTS
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Perhaps the row-reversed variant of A129183. - R. J. Mathar, Dec 13 2011
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REFERENCES
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Drake, Brian, Limits of areas under lattice paths. Discrete Math. 309 (2009), no. 12, 3936-3953. See Section 4.
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LINKS
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Table of n, a(n) for n=0..41.
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EXAMPLE
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Triangle begins
1
2
1 4
2 4 8
1 4 9 12 16
2 4 12 20 30 32 32
1 4 9 20 34 56 73 88 80 64
2 4 12 24 46 72 116 156 206 232 240 192 128
...
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CROSSREFS
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Sequence in context: A035685 A205509 A118736 * A105474 A216568 A219432
Adjacent sequences: A201158 A201159 A201160 * A201162 A201163 A201164
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KEYWORD
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nonn,tabf,more
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AUTHOR
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N. J. A. Sloane, Nov 27 2011
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STATUS
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approved
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