Previous updates: May 26, 1998, May 27, 2003 (thanks to Vince Vatter).

Welcome to the Web page of the paper Enumeration Schemes, and More Importantly, Their Automatic Generation, by Doron Zeilberger .

Make sure to download the Maple Package WILF (last update May 27, 2003, thanks to Vince Vatter) that accompanies the paper.

You may also like to examine the empirical approach of the Maple package HERB .

Here are Nine succesful input and output files.

Example 1 that yielded the output Output for Example 1.

Example 2 that yielded the output Output for Example 2.

Example 3 that yielded the output Output for Example 3.

Example 4 that yielded the output Output for Example 4.

Example 5 that yielded the output Output for Example 5.

Example 6 that yielded the output Output for Example 6.

Example 7 that yielded the output Output for Example 7.

Example 8 that yielded the output Output for Example 8.

Example 9 that yielded the output Output for Example 9.

Added Aug. 12, 2004: My brilliant student Vince Vatter , has considerably extended the present method, to include many more cases. See his Maple package WILFPLUS