Bijections for Baxter families and related objects

@article{Felsner2011BijectionsFB,
  title={Bijections for Baxter families and related objects},
  author={Stefan Felsner and {\'E}ric Fusy and Marc Noy and David Orden},
  journal={J. Comb. Theory, Ser. A},
  year={2011},
  volume={118},
  pages={993-1020}
}
The Baxter number Bn can be written as Bn = ∑n k=0 Θk,n−k−1 with Θk,l = 2 (k + 1) (k + 2) (