Lagrange Inversion Counts 35ˉ2413\bar{5}241-Avoiding Permutations

preprint2011arXivOpen access

Abstract

In a previous paper, we showed that 35ˉ2413\bar{5}241-avoiding permutations are counted by the unique sequence that starts with a 1 and shifts left under the self-composition transform. The proof uses a complicated bijection. Here we give a much simpler proof based on Lagrange inversion.

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