Olivier Guibert And
نویسنده
چکیده
We study generating functions for the number of involutions in Sn avoiding (or containing once) 132, and avoiding (or containing once) an arbitrary permutation τ on k letters. In several interesting cases the generating function depends only on k and is expressed via Chebyshev polynomials of the second kind. In particular, we establish that involutions avoiding both 132 and 12 . . . k have the same enumerative formula according to the length than involutions avoiding both 132 and any doublewedge pattern possibly followed by fixed points of total length k. Many results are also shown with a combinatorial point of view.
منابع مشابه
Doubly alternating Baxter permutations are Catalan
The Baxter permutations who are alternating and whose inverse is also alternating are shown to be enumerated by the Catalan numbers. A bijection to complete binary trees is also given. R esum e Nous montrons que les permutations de Baxter alternantes dont l'inverse est egalement une permutation de Baxter alternante sont enum er ees par les nombres de Catalan. De plus, nous donnons une bijection...
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