\def\cprime{$'$} \begin{thebibliography}{10} \bibitem{albert:longest-subsequ:} {\sc Albert, M.~H., Aldred, R. E.~L., Atkinson, M.~D., van Ditmarsch, H.~P., Handley, B.~D., Handley, C.~C., and Opatrny, J.} \newblock Longest subsequences in permutations. \newblock {\em Australas. J. Combin. 28\/} (2003), 225--238. \bibitem{albert:on-the-wilf-sta:} {\sc Albert, M.~H., Elder, M., Rechnitzer, A., Westcott, P., and Zabrocki, M.} \newblock On the {W}ilf-{S}tanley limit of $4231$-avoiding permutations and a conjecture of {A}rratia. \newblock {\em Adv. in Appl. Math. 36}, 2 (2006), 95--105. \bibitem{albert:growing-at-a-pe:} {\sc Albert, M.~H., and Linton, S.} \newblock Growing at a perfect speed. \newblock Preprint. \bibitem{arratia:on-the-stanley-:} {\sc Arratia, R.} \newblock On the {S}tanley-{W}ilf conjecture for the number of permutations avoiding a given pattern. \newblock {\em Electron. J. Combin. 6\/} (1999), Note, N1, 4 pp. \bibitem{atkinson:sorting-with-tw:} {\sc Atkinson, M.~D., Murphy, M.~M., and Ru{\v{s}}kuc, N.} \newblock Sorting with two ordered stacks in series. \newblock {\em Theoret. Comput. Sci. 289}, 1 (2002), 205--223. \bibitem{babson:generalized-per:} {\sc Babson, E., and Steingr{\'{\i}}msson, E.} \newblock Generalized permutation patterns and a classification of the {M}ahonian statistics. \newblock {\em S\'em. Lothar. Combin. 44\/} (2000), Article B44b, 18 pp. \bibitem{babson:the-permutation:} {\sc Babson, E., and West, J.} \newblock The permutations $123p\sb 4\cdots p\sb m$ and $321p\sb 4\cdots p\sb m$ are {W}ilf-equivalent. \newblock {\em Graphs Combin. 16}, 4 (2000), 373--380. \bibitem{backelin:wilf-equivalenc:} {\sc Backelin, J., West, J., and Xin, G.} \newblock Wilf-equivalence for singleton classes. \newblock {\em Adv. in Appl. Math. 38}, 2 (2007), 133--148. \bibitem{bona:exact-enumerati:} {\sc B{\'o}na, M.} \newblock Exact enumeration of {$1342$}-avoiding permutations: a close link with labeled trees and planar maps. \newblock {\em J. Combin. Theory Ser. A 80}, 2 (1997), 257--272. \bibitem{bona:a-survey-of-sta:} {\sc B{\'o}na, M.} \newblock A survey of stack-sorting disciplines. \newblock {\em Electron. J. Combin. 9}, 2 (2003), Article 1, 16 pp. \bibitem{bona:the-limit-of-a-:} {\sc B{\'o}na, M.} \newblock The limit of a {S}tanley-{W}ilf sequence is not always rational, and layered patterns beat monotone patterns. \newblock {\em J. Combin. Theory Ser. A 110}, 2 (2005), 223--235. \bibitem{burstein:dumont-permutat:} {\sc Burstein, A., and Stromquist, W.} \newblock Dumont permutations of the third kind. \newblock Preprint. \bibitem{elder:problems-and-co:} {\sc Elder, M., and Vatter, V.} \newblock Problems and conjectures presented at the {T}hird {I}nternational {C}onference on {P}ermutation {P}atterns, {U}niversity of {F}lorida, {M}arch 7--11, 2005. \newblock arXiv:math.CO/0505504. \bibitem{hardarson:avoidance-of-pa:} {\sc Hardarson, M.~T.} \newblock Avoidance of partially ordered generalized patterns of the form $k$-$\sigma$-$k$. \newblock arXiv:0805.1872v1, 2008. \bibitem{marcus:excluded-permut:} {\sc Marcus, A., and Tardos, G.} \newblock Excluded permutation matrices and the {S}tanley-{W}ilf conjecture. \newblock {\em J. Combin. Theory Ser. A 107}, 1 (2004), 153--160. \bibitem{ray:posets-of-matri:} {\sc Ray, N., and West, J.} \newblock Posets of matrices and permutations with forbidden subsequences. \newblock {\em Ann. Comb. 7}, 1 (2003), 55--88. \bibitem{regev:asymptotic-valu:} {\sc Regev, A.} \newblock Asymptotic values for degrees associated with strips of {Y}oung diagrams. \newblock {\em Adv. in Math. 41}, 2 (1981), 115--136. \bibitem{schensted:longest-increas:} {\sc Schensted, C.} \newblock Longest increasing and decreasing subsequences. \newblock {\em Canad. J. Math. 13\/} (1961), 179--191. \bibitem{stankova:a-new-class-of-:} {\sc Stankova, Z., and West, J.} \newblock A new class of {W}ilf-equivalent permutations. \newblock {\em J. Algebraic Combin. 15}, 3 (2002), 271--290. \bibitem{stankova:forbidden-subse:} {\sc Stankova, Z.~E.} \newblock Forbidden subsequences. \newblock {\em Discrete Math. 132}, 1-3 (1994), 291--316. \bibitem{west:permutations-wi:} {\sc West, J.} \newblock {\em Permutations with forbidden subsequences and stack-sortable permutations}. \newblock PhD thesis, M.I.T., 1990. \bibitem{west:sorting-twice-t:} {\sc West, J.} \newblock Sorting twice through a stack. \newblock {\em Theoret. Comput. Sci. 117}, 1-2 (1993), 303--313. \end{thebibliography}