English

Restricted 132-avoiding permutations

Combinatorics 2007-05-23 v2

Abstract

We study generating functions for the number of permutations on n letters avoiding 132 and an arbitrary permutation τ\tau on k letters, or containing τ\tau exactly once. In several interesting cases the generating function depends only on k and is expressed via Chebyshev polynomials of the second kind.

Keywords

Cite

@article{arxiv.math/0010047,
  title  = {Restricted 132-avoiding permutations},
  author = {T. Mansour and A. Vainshtein},
  journal= {arXiv preprint arXiv:math/0010047},
  year   = {2007}
}

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10 pages