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arxiv: 1603.09487 · v1 · pith:T4C6WDM3new · submitted 2016-03-31 · 🧮 math.CO

Rectangular Schroder Parking Functions Combinatorics

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keywords schroderfunctionsparkingpathsanalogsassociatedcloselycombinatorics
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We study Schroder paths drawn in a (m,n) rectangle, for any positive integers m and n. We get explicit enumeration formulas, closely linked to those for the corresponding (m,n)-Dyck paths. Moreover we study a Schroder version of (m,n)-parking functions, and associated (q,t)-analogs.

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