Divisibility properties of the Fibonacci, Lucas, and related sequences (Q2014920)
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scientific article; zbMATH DE number 6304843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divisibility properties of the Fibonacci, Lucas, and related sequences |
scientific article; zbMATH DE number 6304843 |
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Divisibility properties of the Fibonacci, Lucas, and related sequences (English)
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16 June 2014
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Summary: We use matrix techniques to give simple proofs of known divisibility properties of the Fibonacci, Lucas, generalized Lucas, and Gaussian Fibonacci numbers. Our derivations use the fact that products of diagonal matrices are diagonal together with Bezout's identity.
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divisibility
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Fibonacci numbers
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Lucas numbers
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generalized Lucas numbers
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Gaussian Fibonacci numbers
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