Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)
Title: Generalized Motzkin Numbers & k-Trees
Speaker: Melkamu Zeleke, William Patterson University
Date: Thursday, March 30, 2006 5:00pm
Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ
We use k-trees to generalize the sequence of Motzkin numbers and use this generalization to show that Baxter's generalization of Temperley-Lieb operators is a special case of generalized Motzkin numbers. We also show that the terms of 3-Motzkin numbers are palindromic sums and investigate some asymptotic properties of the terms of k-Motzkin numbers.
(Joint work with Mahendra Jani)