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arxiv: 1402.3842 · v3 · pith:EEQYF5WJnew · submitted 2014-02-16 · 🧮 math.CO

Two Examples of Unbalanced Wilf-Equivalence

classification 🧮 math.CO
keywords patternsunbalancedwilf-equivalentclassicalexamplesfinitefirstknown
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We prove that the set of patterns {1324,3416725} is Wilf-equivalent to the pattern 1234 and that the set of patterns {2143,3142,246135} is Wilf-equivalent to the set of patterns {2413,3142}. These are the first known unbalanced Wilf-equivalences for classical patterns between finite sets of patterns.

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