Geodesic
Counting peaks and valleys in \(k\)-colored Motzkin paths
The electronic journal of combinatorics, Tome 12 (2005)

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Zbl EuDML
This paper deals with the enumeration of $k$-colored Motzkin paths with a fixed number of (left and right) peaks and valleys. Further enumeration results are obtained when peaks and valleys are counted at low and high level. Many well-known results for Dyck paths are obtained as special cases.
DOI : 10.37236/1913
Classification : 05A15, 05A19 
A. Sapounakis; P. Tsikouras. Counting peaks and valleys in \(k\)-colored Motzkin paths. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1913
@article{10_37236_1913,
     author = {A. Sapounakis and P. Tsikouras},
     title = {Counting peaks and valleys in \(k\)-colored {Motzkin} paths},
     journal = {The electronic journal of combinatorics},
     year = {2005},
     volume = {12},
     doi = {10.37236/1913},
     zbl = {1060.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1913/}
}
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