Length-Four Pattern Avoidance in Inversion Sequences
Abstract
Inversion sequences of length n are integer sequences e1,… ,en with 0 ei<i for all i, which are in bijection with the permutations of length n. In this paper, we classify all Wilf equivalence classes of pattern-avoiding inversion sequences of length-4 patterns except for one case (whether 3012 3201) and enumerate some of the length-4 pattern-avoiding inversion sequences that are in the OEIS.
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