Factorizations and representations of the backward second-order linear recurrences
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摘要
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.
论文关键词:Second-order linear recurrences,Determinant,Permanent,Factorization
论文评审过程:Received 17 November 2005, Revised 31 January 2006, Available online 30 March 2006.
论文官网地址:https://doi.org/10.1016/j.cam.2006.02.012