qEWplus.txt, written by AJ Bu and Doron Zeilberger for deriving (rigorously) explicit expressions for the moments of Dyck and Motzkin paths
It accompanies this article, by AJ Bu, Shalosh B. Ekhad, and Doron Zeilberger.
GDW.txt, written by AJ Bu and Doron Zeilberger explores generalized Dyck Walks, and their areas.
It accompanies this article, by AJ Bu and Doron Zeilberger.
AreaBounce.txt and BounceArea.txt, written by AJ Bu and Doron Zeilberger: These two Maple packages test Haglund's theorem that the so-called Area and Bounce Statistics are symmetric for Dyck paths, and that tries for a combinatrial proof
qEW.txt, written by AJ Bu
explores the area under various families of paths that start and end at height 0 and never have a negative height.
Motzkin.txt and MotzkinClever.txt: These two Maple packages automatically count Motzkin
paths with various restrictions, using the "dumb" and "clever" way, respectively.