Two Examples of Unbalanced Wilf-Equivalence

preprint2014arXivOpen access

Abstract

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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