2 papers
math.CO2026
On Semisymmetric Height and a Multidimensional Generalization of Weighted Catalan Numbers
Ryota Inagaki, Dimana Pramatarova
Weighted Catalan numbers are a class of weighted sums over Dyck paths. Well-studied for their arithmetic properties and applications to enumerative combinatorics, these numbers wer…
math.CO2025
On Weighted and Bounded Multidimensional Catalan Numbers
Ryota Inagaki, Dimana Pramatarova
We define a weighted analog for the multidimensional Catalan numbers, obtain matrix-based recurrences for some of them, and give conditions under which they are periodic. Building…