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Doubly alternating Baxter permutations are Catalan. (English) Zbl 0965.05005

The authors show that Baxter permutations which are alternating and which have alternating inverses are enumerated by the Catalan numbers.

MSC:

05A05 Permutations, words, matrices
05A15 Exact enumeration problems, generating functions
05A19 Combinatorial identities, bijective combinatorics
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