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On Combinatorial Interpretations of Hankel Matrices and Their Determinants
by
Lynnell S. Matthews
Howard University
Given a sequene (an)n >= 0, the Hankel matrix An+1 is the matrix whose (i, j)th entry is ai+j and Bn+1 is the matrix whose (i, j)th entry is ai+j+1. This talk will present a class of sequences with det An+1 = det Bn+1 = m((n+1) || 2), m >= 1. For m=1 and m=2 the associated sequences are the Catalan and little Schr\"øder numbers, respectively. The sequences will be explained in terms of four different combinatorial settings involving lattice paths.
Date received: April 20, 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-64.