## 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