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math.CO2018
Enumeration of Łukasiewicz paths modulo some patterns
Jean-Luc Baril, Sergey Kirgizov, Armen Petrossian
For any pattern of length at most two, we enumerate equivalence classes of Łukasiewicz paths of length where two paths are equivalent whenever the occurrence position…
math.CO2018
Descent distribution on Catalan words avoiding a pattern of length at most three
Jean-Luc Baril, Sergey Kirgizov, Vincent Vajnovszki
Catalan words are particular growth-restricted words over the set of non-negative integers, and they represent still another combinatorial class counted by the Catalan numbers. We…