Two examples of unbalanced Wilf-equivalence

Alexander Burstein, Jay Pantone · Journal of Combinatorics · 2015

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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