Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays

Barry, Paul (2009) Symmetric third-order recurring sequences, Chebyshev polynomials, and Riordan arrays. Journal of Integer Sequences, 12 (8). pp. 1-30. ISSN 1530-7638

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Abstract

We study a family of symmetric third-order recurring sequences with the aid of Riordan arrays and Chebyshev polynomials. Formulas involving both Chebyshev poly-nomials and Fibonacci numbers are established. The family of sequences defined by the product of consecutive terms of the first family of sequences is also studied, and links to the Chebyshev polynomials are again established, including continued fraction expressions. A multiplicative result is established relating Chebyshev polynomials to sequences of doubled Chebyshev polynomials. Links to a special Catalan related Riordan array are explored.

Item Type: Article
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/2600/2607
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Depositing User: Admin SSL
Date Deposited: 19 Oct 2022 23:08
Last Modified: 05 Feb 2023 00:01
URI: http://repository-testing.wit.ie/id/eprint/4246

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