Restricted 132-avoiding permutations

Details Restricted 132-avoiding permutations Restricted 132-avoiding permutations

2000-10-04

arxiv.org/abs/math/0010047v2

Mathematics

Combinatorics

10 pages

Scientific paper

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

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