Counting peaks and valleys in \(k\)-colored Motzkin paths (Q1773208)
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scientific article; zbMATH DE number 2161317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting peaks and valleys in \(k\)-colored Motzkin paths |
scientific article; zbMATH DE number 2161317 |
Statements
Counting peaks and valleys in \(k\)-colored Motzkin paths (English)
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25 April 2005
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Summary: 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.
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