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A201161 Irregular triangle read by rows: number of colored Motzkin paths of length n and rank k. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Perhaps the row-reversed variant of A129183. - R. J. Mathar, Dec 13 2011

LINKS

Table of n, a(n) for n=0..41.

Brian Drake, Limits of areas under lattice paths, Discrete Math. 309 (2009), no. 12, 3936-3953. See Section 4.

EXAMPLE

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

...

CROSSREFS

Sequence in context: A035685 A205509 A118736 * A105474 A216568 A219432

Adjacent sequences:  A201158 A201159 A201160 * A201162 A201163 A201164

KEYWORD

nonn,tabf,more

AUTHOR

N. J. A. Sloane, Nov 27 2011

STATUS

approved

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Last modified July 14 18:26 EDT 2020. Contains 335729 sequences. (Running on oeis4.)