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math.CO2009★ 5 cited
The Eulerian numbers on restricted centrosymmetric permutations
Marilena Barnabei, Flavio Bonetti, Matteo Silimbani
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, and …
math.CO2009
The distribution of consecutive patterns of length 3 in -avoiding permutations
M. Barnabei, F. Bonetti, M. Silimbani
We exploit Krattenthaler's bijection between the set of permutations in avoiding the classical pattern and Dyck -p…