Inversion sequences avoiding {120,210} and another pattern of length three

Toufik Mansour, Qiqi Xiao

Research output: Contribution to journalArticlepeer-review

Abstract

We present enumerations of inversion sequences that avoid 120, 210, and a pattern of length three. More precisely, we characterize the rules of generating trees and we write the corresponding function equations of these inversion sequences.

Original languageAmerican English
Pages (from-to)272-291
Number of pages20
JournalJournal of Difference Equations and Applications
Volume31
Issue number2
DOIs
StatePublished - 2025

Keywords

  • Inversion sequences
  • generating functions
  • generating trees
  • kernel method
  • pattern avoidance

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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