Generalizing a Binomial Coefficient Identity of Beckwith

Combinatorics/Partitions Seminar

Meeting Details

For more information about this meeting, contact Barbara Baum.

Speaker: Dr. James Sellers, Department of Mathematics, The Pennsylvania State University

Abstract: In 2006, David Beckwith submitted a specific binomial coefficient identity to the Problems Section of the American Mathematical Monthly (problem #11220). Later that year, I had the privilege of proving the result combinatorially with Art Benjamin, Jenny Quinn, and Mark Shattuck. Along the way, our combinatorial proof allowed us to generalize Beckwith's identity in multiple directions. In this talk, I will share numerous proofs of Beckwith's identity along with some of our generalizations.

Room Reservation Information

Room Number: 106 McAllister

Date: 01/27/2009

Time: 11:15am - 12:05pm