English

Permutations avoiding 4321 and 3241 have an algebraic generating function

Combinatorics 2023-06-22 v3

Abstract

We show that permutations avoiding both of the (classical) patterns 4321 and 3241 have the algebraic generating function conjectured by Vladimir Kruchinin.

Cite

@article{arxiv.1306.3193,
  title  = {Permutations avoiding 4321 and 3241 have an algebraic generating function},
  author = {David Callan},
  journal= {arXiv preprint arXiv:1306.3193},
  year   = {2023}
}

Comments

11 pages, 6 figures, final version, to appear, Discrete Mathematics & Theoretical Computer Science (DMTCS)

R2 v1 2026-06-22T00:33:29.776Z