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

Author

N. J. A. Sloane, Nov 27 2011

Keywords

• nonn
• tabf
• more

Comments

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

Examples

			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
...
		

Links

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