| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4650511 | Discrete Mathematics | 2008 | 6 Pages |
Abstract
Riordan paths are Motzkin paths without horizontal steps on the x -axis. We establish a correspondence between Riordan paths and (321,31¯42)-avoiding derangements. We also present a combinatorial proof of a recurrence relation for the Riordan numbers in the spirit of the Foata–Zeilberger proof of a recurrence relation on the Schröder numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
William Y.C. Chen, Eva Y.P. Deng, Laura L.M. Yang,