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Horizons in Combinatorics/16th Shanks Lecture Series
May 21-24, 2001
Vanderbilt University
Nashville, TN, USA

Organizers
Paul Edelman, Mark Ellingham, Jonathan Farley, Mike Plummer, Jerry Spinrad

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Catalan Type Lattice Paths
by
Wen Jin Woan
Howard University

We consider lattice paths (Catalan-type) in the Cartesian plane beginning at (0, 0) and proceeding with steps from S=(U=(1, 1) or D=(1, -t)) , where t is a positive integer. Here we present a combinatorial proof of the Catalan-type property that (t+1)m+k divides kC((t+1)m+k, m).

Date received: April 18, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cags-29.