DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Co-organizers:

Drew Sills, Rutgers University, asills {at} math [dot] rutgers [dot] edu

Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

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

Abstract:

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)