English

231-Avoiding Involutions and Fibonacci Numbers

Combinatorics 2007-05-23 v1

Abstract

We use combinatorial and generating function techniques to enumerate various sets of involutions which avoid 231 or contain 231 exactly once. Interestingly, many of these enumerations can be given in terms of kk-generalized Fibonacci numbers.

Keywords

Cite

@article{arxiv.math/0209255,
  title  = {231-Avoiding Involutions and Fibonacci Numbers},
  author = {Eric S. Egge and Toufik Mansour},
  journal= {arXiv preprint arXiv:math/0209255},
  year   = {2007}
}

Comments

9 pages