2 papers
math.CO2026
Progressive and Rushed Dyck Paths
Axel Bacher
We call progressive paths and rushed paths two families of Dyck paths studied by Asinowski and Jelinek, which have the same enumerating sequence (OEIS entry A287709). We present a…
math.CO2026
Families of Eliahou semigroups linked to Farey intervals
Axel Bacher
We describe new families of Eliahou semigroups, encompassing previous families described by Delgado, Eliahou and Fromentin, and Bras-Amorós. A crucial parameter is a Farey interval…