English

On 0012-avoiding inversion sequences and a Conjecture of Lin and Ma

Combinatorics 2020-06-09 v1

Abstract

The study of pattern avoidance in inversion sequences recently attracts extensive research interests. In particular, Zhicong Lin and Jun Ma conjectured a formula that counts the number of inversion sequences avoiding the pattern 00120012. We will not only confirm this conjecture but also give a formula that enumerates the number of 00120012-avoiding inversion sequences in which the last entry equals n1n-1.

Keywords

Cite

@article{arxiv.2006.04318,
  title  = {On 0012-avoiding inversion sequences and a Conjecture of Lin and Ma},
  author = {Shane Chern},
  journal= {arXiv preprint arXiv:2006.04318},
  year   = {2020}
}