Restricted even permutations and Chebyshev polynomials

Details Restricted even permutations and Chebyshev polynomials Restricted even permutations and Chebyshev polynomials

2003-02-02

arxiv.org/abs/math/0302014v1

Mathematics

Combinatorics

20 pages

Scientific paper

We study generating functions for the number of even (odd) 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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