Peakless Motzkin paths of bounded height
Autor: | Prodinger, Helmut |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | There was recent interest in Motzkin paths without peaks (peak: up-step followed immediately by down-step); additional results about this interesting family is worked out. The new results are the enumeration of such paths that live in a strip $[0..\ell]$, and as consequence the asymptotics of the average height, which is given by $2\cdot 5^{-1/4}\sqrt{\pi n}$. Methods include the kernel method and singularity analysis of generating functions. Comment: Early draft. Comments and suggestions welcome |
Databáze: | arXiv |
Externí odkaz: |