English

The enumeration of inversion sequences avoiding the patterns 201 and 210

Combinatorics 2024-04-29 v3

Abstract

We derive the algebraic generating function for inversion sequences avoiding the patterns 201201 and 210210 by describing a set of succession rules, converting them to a system of generating function equations with one catalytic variable, and then solving the system with kernel method techniques.

Keywords

Cite

@article{arxiv.2310.19632,
  title  = {The enumeration of inversion sequences avoiding the patterns 201 and 210},
  author = {Jay Pantone},
  journal= {arXiv preprint arXiv:2310.19632},
  year   = {2024}
}
R2 v1 2026-06-28T13:06:02.913Z