English

Central binomial coefficients also count (2431,4231,1432,4132)-avoiders

Combinatorics 2015-06-01 v2

Abstract

This short paper is concerned with the enumeration of permutations avoiding the following four patterns: 24312431, 42314231, 14321432 and 41324132. Using a bijective construction, we prove that these permutations are counted by the central binomial coefficients.

Keywords

Cite

@article{arxiv.1505.04929,
  title  = {Central binomial coefficients also count (2431,4231,1432,4132)-avoiders},
  author = {Marie-Louise Bruner},
  journal= {arXiv preprint arXiv:1505.04929},
  year   = {2015}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-22T09:36:59.295Z