Automated Counting of Parking Wilf Classes

By Lucy Martinez and Doron Zeilberger

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Written: Apr.-Sept. 2025

Maple packages

  • ParkingWilf.txt, a Maple package that extends VATTERsuf.txt to to enumerate Parking Wilf classes. It contains everything in the former, and new procedures accesible via ezraP();

  • PWilfCases.txt, a Maple package that has numerous examples of procedures for counting parking functions avoiding certain classes of Wilf Class.

  • ParkingDyckWilf.txt, a Maple package to enumerate (so far by brute force) parking functions that lead, via the Block Dyck Version, to permutations avoiding a set of patterns.

    PWilf.txt, A simpler "warm up package" that handles special cases in an ad-hoc basis. It is only here for historical reasons. This is here for histotical reasons:

  • VATTERsuf.txt, a Maple package to enumerate Wilf classes. It extends the 2006 package VATTER to also handle Suffix schemes, and forms the basis of the extension to counting Parking functions in the Maple package ParkingWilf.txt (see below)

Sample Input and Output for PWilf.txt