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A201160 Irregular triangle read by rows: number of Motzkin paths of length n and rank k. 0
1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 3, 1, 1, 2, 3, 4, 6, 4, 1, 1, 1, 3, 5, 7, 8, 10, 10, 5, 1, 1, 2, 3, 6, 8, 12, 16, 18, 19, 20, 15, 6, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

This might be the row-reversed variant of A129181. - R. J. Mathar, Dec 13 2011

LINKS

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

Drake, Brian, Limits of areas under lattice paths, Discrete Math. 309 (2009), no. 12, 3936-3953. See Section 3.

EXAMPLE

Triangle begins

1

1

1 1

1 2 1

1 1 3 3 1

1 2 3 4 6 4 1

1 1 3 5 7 8 10 10 5 1

1 2 3 6 8 12 16 18 19 20 15 6 1

...

CROSSREFS

Sequence in context: A072906 A239062 A341052 * A302538 A228428 A344911

Adjacent sequences:  A201157 A201158 A201159 * A201161 A201162 A201163

KEYWORD

nonn,tabf,more

AUTHOR

N. J. A. Sloane, Nov 27 2011

STATUS

approved

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Last modified June 24 21:09 EDT 2021. Contains 345425 sequences. (Running on oeis4.)