The central coefficients of a family of pascal-like triangles and colored lattice paths

Barry, Paul (2019) The central coefficients of a family of pascal-like triangles and colored lattice paths. Journal of Integer Sequences, 22 (1). ISSN 1530-7638

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Abstract

We study the central coefficients of a family of Pascal-like triangles defined by Riordan arrays. These central coefficients count left-factors of colored Schröder paths. We give various forms of the generating function, including continued fraction forms, and we calculate their Hankel transform. By using the A and Z sequences of the defining Riordan arrays, we obtain a matrix whose row sums are equal to the central coefficients under study. We explore the row polynomials of this matrix. We give alternative formulas for the coefficient array of the sequence of central coefficients.

Item Type:	Article
Additional Information:	Publisher Copyright: © 2019, University of Waterloo. All rights reserved.
Uncontrolled Keywords:	/dk/atira/pure/subjectarea/asjc/2600/2607
Departments or Groups:
Depositing User:	Admin SSL
Date Deposited:	19 Oct 2022 23:08
Last Modified:	04 Jul 2023 16:05
URI:	http://repository-testing.wit.ie/id/eprint/4234

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