The Eulerian numbers on restricted centrosymmetric permutations

Details The Eulerian numbers on restricted centrosymmetric permutations The Eulerian numbers on restricted centrosymmetric permutations

2009-10-13

arxiv.org/abs/0910.2376v1

Mathematics

Combinatorics

17 pages, 6 figures

Scientific paper

We study the descent distribution over the set of centrosymmetric
permutations that avoid the pattern of length 3. Our main tool in the most
puzzling case, namely, $\tau=123$ and $n$ even, is a bijection that associates
a Dyck prefix of length $2n$ to every centrosymmetric permutation in $S_{2n}$
that avoids 123.

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