Bijections for Baxter families and related objects

The Baxter number B n can be written as B n = ∑ k = 0 n Θ k , n − k − 1 with Θ k , ℓ = 2 ( k + 1 ) 2 ( k + 2 ) ( k + ℓ k ) ( k + ℓ + 1 k ) ( k + ℓ + 2 k ) . These numbers have first appeared in the enumeration of so-called Baxter permutations; B n is the number of Baxter permutations of size n, and...

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