Motzkin paths with exactly one weak ascent (Q2799829)
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scientific article; zbMATH DE number 6568593
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Motzkin paths with exactly one weak ascent |
scientific article; zbMATH DE number 6568593 |
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13 April 2016
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Motzkin path
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weak ascent
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path statistic
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recurrence relation
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Motzkin paths with exactly one weak ascent (English)
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A Motzkin path of length \(n\) is a lattice path from \((0,0)\) to \((n,0)\) in \({\mathbb Z}^2\) consisting of horizontal-steps \((1,0)\), up-steps \((1,1)\), and down-steps \((1,-1)\), which never passes below the \(x\)-axis. The paper studies several statistics on Motzkin paths with exactly one weak ascent.
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