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Dyck paths with catastrophes modulo the positions of a given pattern
Published 23 Feb 2022 in math.CO and cs.DM | (2202.11627v2)
Abstract: For any pattern $p$ of length at most two, we provide generating functions and asymptotic approximations for the number of $p$-equivalence classes of Dyck paths with catastrophes, where two paths of the same length are $p$-equivalent whenever the positions of the occurrences of the pattern $p$ are the same.
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