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Guibert and Linusson introduced the family of doubly alternating Baxter permutations, i.e.
G. Baxter, On fixed points of the composite of commuting functions, Proc. AMS 14
1964
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F. Chung, R. Graham, V. Hoggatt and M. Kleiman, The number of Baxter permutations, J. Combin. Theory, Ser. A 24
1978
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X. Viennot, Le nombre des permutations de Baxter, Sém. Lothar. Combin. 31
1981
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1995
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O. Guibert and S. Linusson, Doubly alternating Baxter permutations are Catalan, Discrete Math. 217
2000
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E. Ackerman, G. Barequet and R. Pinter, A bijection between permutations and floorplans, and its applications, Discrete Appl. Math. 154
2006
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2006
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H. W. Gould, Bell and Catalan Numbers: A Research Bibliography of Two Special Number Sequences (Revised 2007); available at http://www.math.wvu.edu/~gould/BibGood%20final.pdf
2007
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N. Bonichon, M. Bousquet-Mélou and É. Fusy, Baxter Permutations and plane bipolar orientations, Electron. Notes Discrete Math. 31
2008
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M. Korn, Geometric and algebraic properties of polyomino tilings , MIT Ph.D. thesis, 2008
2008
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S. Felsner, É. Fusy, M. Noy and D. Orden, Bijections for Baxter Families and Related Objects, J. Combin. Theory, Ser. A 118
2011
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S. Kitaev, Patterns in Permutations and Words , Springer, Berlin, 2011
2011
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R. Stanley, Enumerative Combinatorics , vols. 1 and 2, Cambridge Univ. Press, Cambridge, 2011
2011
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M. Atapour and N. Madras, Large Deviations and Ratio Limit Theorems for Pattern-Avoiding Permutations, unpublished preprint (2013)
2013
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P. Diaconis and P. M. Wood, Random doubly stochastic tridiagonal matrices, Random Structures Algorithms 42
2013
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P. Flajolet and R. Sedgewick, Analytic Combinatorics , Cambridge Univ. Press, Cambridge, 2009
2009
Cited alongside, same era.
N. Madras and H. Liu, Random Pattern-Avoiding Permutations, in Algorithmic Probability and Combinatorics , AMS, Providence, RI, 2010, 173–194
2010
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T. Dokos, UCLA Ph.D. thesis, in preparation
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I. Pak, Catalan Numbers Page, http://www.math.ucla.edu/~pak/lectures/Cat/pakcat.htm
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N. J. A. Sloane, A000108, in Online Encyclopedia of Integer Sequences , http://oeis.org/A000108
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R. Stanley, A Survey of Alternating Permutations , 31 pp., arXiv:0912.4240
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2013
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