A201161 Irregular triangle read by rows: number of colored Motzkin paths of length n and rank k.

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

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