Some properties of convolved \(k\)-Fibonacci numbers (Q361582)
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scientific article; zbMATH DE number 6202999
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of convolved \(k\)-Fibonacci numbers |
scientific article; zbMATH DE number 6202999 |
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Some properties of convolved \(k\)-Fibonacci numbers (English)
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29 August 2013
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Summary: We define the convolved \(k\)-Fibonacci numbers as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the \(k\)-Fibonacci and \(k\)-Lucas numbers. Moreover we obtain the convolved \(k\)-Fibonacci numbers from a family of Hessenberg matrices.
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convolved \(k\)-Fibonacci number
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\(k\)-Lucas number
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Hessenberg matrix
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