2024/09/30 by Elena Barcucci, Antonio Bernini, Barcucci, Elena +5
Business, Management and Accounting · #Product Development and Customization
paper · pdf · doi:10.48550/arxiv.2409.20210
Given a positive rational q, we consider Dyck paths having height at most two with some constraints on the number of consecutive peaks and consecutive valleys, depending on q. We introduce a general class of Dyck paths, called rational Dyck paths, and provide the associated generating function, according to their semilength, as well as the construction of such a class. Moreover, we characterize some subsets of the rational Dyck paths that are enumerated by the \mathbb Q-bonacci numbers.