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.
The authors would like to thank Miklós Bóna for his close reading of the paper, helpful comments in clarifying the exposition, and pointing out the connection of this paper to [4].