On Fibonacci-Hessenberg matrices and the Pell and Perrin numbers (Q440717)
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scientific article; zbMATH DE number 6068280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Fibonacci-Hessenberg matrices and the Pell and Perrin numbers |
scientific article; zbMATH DE number 6068280 |
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On Fibonacci-Hessenberg matrices and the Pell and Perrin numbers (English)
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19 August 2012
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The author gives examples of recursive sequences of Hessenberg matrices \(A_{n}\) (\(n=1,2,\dots\) where \(A_{n}\) is \(n\times n\)) for which the sequences \(\left\{ \det A_{n}\right\} \) satisfy a simple second order recurrence relation. Proofs are elementary.
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Fibonacci-Hessenberg matrices
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Pell number
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Perrin number
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determinant
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recurrence relation
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