Lagrange Inversion Counts $3\bar{5}241$-Avoiding Permutations

Details Lagrange Inversion Counts $3\bar{5}241$-Avoiding Permutations Lagrange Inversion Counts $3\bar{5}241$-Avoiding Permutations

2011-04-23

arxiv.org/abs/1104.4593v1

Mathematics

Combinatorics

5 pages

Scientific paper

In a previous paper, we showed that $3\bar{5}241$-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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