Enumerations of Rational Non-decreasing Dyck Paths with Integer Slope

We extend the concept of non-decreasing Dyck paths to t -Dyck paths. We denote the set of non-decreasing t -Dyck paths by D t . Several classic questions studied in other families of lattice paths are studied here for D t . We use generating functions, recursive relations and Riordan arrays to count...

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Veröffentlicht in:	Graphs and combinatorics 2021-11, Vol.37 (6), p.2775-2801
Hauptverfasser:	Flórez, Rigoberto, Ramírez, José L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Engineering Design Mathematics Mathematics and Statistics Original Paper
Online-Zugang:	Volltext
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