Comparing two matrices of generalized moments defined by continued fraction expansions

Barry, Paul (2014) Comparing two matrices of generalized moments defined by continued fraction expansions. Journal of Integer Sequences, 17 (5). ISSN 1530-7638

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Abstract

We study two matrices N and M defined by the parameters of equivalent S- and J-continued fraction expansions, and compare them by examining the product N-1M. Using examples based on the Catalan numbers, the little Schr¨oder numbers, and powers of q, we indicate that this matrix product is an object worthy of study. In the case of the little Schr¨oder numbers, we find that the matrix N has an interleaved structure based on two Riordan arrays.

Item Type: Article
Additional Information: Publisher Copyright: © 2014, University of Waterloo. All rights reserved.
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:09
Last Modified: 06 Feb 2023 00:01
URI: http://repository-testing.wit.ie/id/eprint/4389

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