Two Examples of Unbalanced Wilf-Equivalence
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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