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arxiv: 1504.07136 · v1 · pith:6LNURY7Anew · submitted 2015-04-27 · 🧮 math.CO

Bounded Height Interlaced Pairs of Parking Functions

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keywords functionsboundedheightinterlacedpairsparkinganalogschebicheff
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We enumerate interlaced pairs of parking functions whose underlying Dyck path has a bounded height. We obtain an explicit formula for this enumeration in the form of a quotient of analogs of Chebicheff polynomials having coefficients in the ring of symmetric functions.

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