Systematic Studies in Pattern Avoidance

References:

• for further reading...
  • Combinatorics of Permutations by Miklos Bona, Chapter 4.
  • Enumeration Schemes, and More Importantly, Their Automatic Generation, by Doron Zeilberger, (Annals of Combinatorics 2 (1998), 185-195.)
  • Enumeration Schemes for Restricted Permutations by Vince Vatter
  • Finitely Labeled Generating Trees and Restricted Permutations by Vince Vatter (Journal of Symbolic Computation 41 (2006), 559–572.).
• some quick definitions
  • Permutation Pattern -- Wikipedia page