Autor:	Prodinger, Helmut
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	Motzkin excursions and meanders are revisited. This is considered in the context of forbidden patterns. Previous work by Asinowski, Banderier, Gittenberger, and Roitner is continued. Motzkin paths of bounded height are considered, leading to matrix equations and also to continued fractions. The enumeration is done by properly setting up bivariate generating functions which can be expanded using the kernel method. Comment: This paper needs some polishing, but is posted to receive comments and feedback from the scientific community. Do you want to be cited? Are there cases that should be added? Any inconsistencies?
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.12497 Zobrazit plný text záznamu View this record from Arxiv