Systematic Studies in Pattern Avoidance
A Webbook of
Shalosh B. Ekhad,
Lara Pudwell, and
Vince Vatter.
Maple Packages:
- FINLABEL (by Vince Vatter) -- finds generating functions and more for the number of permutations avoiding certain sets of patterns
- WILFPLUS (by Vince Vatter) -- finds recursive schemes to count permutations avoiding sets of patterns
- WILF (by Doron Zeilberger) -- another package to study permutations avoiding sets of patterns
- GuessHolo (by Doron Zeilberger) -- computes recursive formulas for sequences of numbers and performs various asymptotic tests
- WILFBOOK (by Lara Pudwell) -- systematically tests what can be counted by FINLABEL and WILF for specified pattern sets and summarizes results
(NOTE: to run WILFBOOK, you must first load WILF and FINLABEL into your maple session, and the proceed with WILFBOOK))
Introduction | Maple Packages | Explanation | Output | References
Lara Pudwell -- April 29, 2006