@article{Bousquet,
	Author = {M. Bousquet-M\'elou and A. Jehanne},
	Journal = {J. Combin. Theory Ser. B},
	Number = {},
	Pages = {623--672},
	Title = {Polynomial equations with one catalytic variable, algebraic series and map enumeration},
	Volume = {96},
	Year = {2006}}

@article{DefantCounting,
	Author = {C. Defant},
	Journal = {J. Combin. Theory Ser. A},
	Number = {},
	Pages = {},
	Title = {Counting $3$-stack-sortable permutations},
	doi = {10.1016/j.jcta.2020.105209},
	Volume = {172},
	Year = {2020}}
	
	@misc{DefantEnumeration, AUTHOR = {C. Defant}, EPRINT = {1904.02829}, EPRINTTYPE = {arxiv}, TITLE = {Enumeration of stack-sorting preimages via a decomposition lemma}, YEAR = {2019}}
	
	@article{DefantMonotonicity,
	Author = {C. Defant},
	Journal = {},
	Number = {},
	Pages = {},
	Title = {Fertility monotonicity and average complexity of the stack-sorting map},
	note = {arXiv: \href{https://arxiv.org/abs/2003.05935}{2003.05935}. To appear in \emph{European J. Combin.}},
	Volume = {},
	Year = {2021}}
	
	@article{DefantPreimages,
	Author = {C. Defant},
	Journal = {Graphs Combin.},
	Number = {},
	Pages = {103--122},
	Title = {Preimages under the stack-sorting algorithm},
	Volume = {33},
	Year = {2017}}
	
	
@misc{DefantTroupes, AUTHOR = {C. Defant}, EPRINT = {2004.11367}, EPRINTTYPE = {arxiv}, TITLE = {Troupes, cumulants, and stack-sorting}, YEAR = {2020}}

@misc{DefantElveyPrice, AUTHOR = {C. Defant and A. Elvey Price and A. J. Guttmann}, EPRINT = {2009.10439}, EPRINTTYPE = {arxiv}, TITLE = {Asymptotics of 3-stack-sortable permutations}, YEAR = {2020}}
		

@book{Knuth,
	TITLE = {The art of computer programming, volume 1},
  SUBTITLE = {Fundamental algorithms},
  AUTHOR = {D. E. Knuth},
  YEAR = {1968}, 
  PUBLISHER = {Addison-Wesley}}

@article{Kremer,
	Author = {D. Kremer},
	Journal = {Discrete Math.},
	Number = {},
	Pages = {121--130},
	Title = {Permutations with forbidden subsequences and a generalized Schr\"oder number},
	Volume = {218},
	Year = {2000}}
	
@article{Smith,
	Author = {R. Smith},
	Journal = {Ann. Comb.},
	Number = {},
	Pages = {113--121},
	Title = {Comparing algorithms for sorting with $t$ stacks in series},
	Volume = {8},
	Year = {2004}}

@article{Ulfarsson,
	Author = {H. \'Ulfarsson},
	Journal = {S\'em. Lothar. Combin.},
	Number = {},
	Pages = {},
	Title = {Describing West-$3$-stack-sortable permutations with permutation patterns},
	Volume = {67},
	Year = {2012}}


@phdthesis{West,
  author       = {J. West}, 
  title        = {Permutations with restricted subsequences and stack-sortable permutations},
  school       = {MIT},
  year         = {1990}}
	
	
@article{Zeilberger,
	Author = {D. Zeilberger},
	Journal = {Discrete Math.},
	Number = {1},
	Pages = {85--93},
	Title = {A proof of Julian West's conjecture that the number of two-stack-sortable permutations of length $n$ is $2(3n)!/((n + 1)!(2n + 1)!)$},
	doi = {10.1016/0012-365X(92)90351-F},
	Volume = {102},
	Year = {1992}}