Factorizations and representations of the backward second-order linear recurrences

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Abstract

We show the relationships between the determinants and permanents of certain tridiagonal matrices and the negatively subscripted terms of second-order linear recurrences. Also considering how to the negatively subscripted terms of second-order linear recurrences can be connected to Chebyshev polynomials by determinants of these matrices, we give factorizations and representations of these numbers. © 2006 Elsevier B.V. All rights reserved.

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Kilic, E., & Tasci, D. (2007). Factorizations and representations of the backward second-order linear recurrences. Journal of Computational and Applied Mathematics, 201(1), 182–197. https://doi.org/10.1016/j.cam.2006.02.012

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