Generalized permutations related to the degenerate Eulerian numbers (original) (raw)
2020, arXiv (Cornell University)
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The Eulerian numbers on restricted centrosymmetric permutations
2009
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\tau=123tau=123 and nnn even, is a bijection that associates a Dyck prefix of length 2n2n2n to every centrosymmetric permutation in S2nS_{2n}S2n that avoids 123.
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