On the sum of powers of two consecutive Fibonacci numbers (Q632997)
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scientific article; zbMATH DE number 5871107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sum of powers of two consecutive Fibonacci numbers |
scientific article; zbMATH DE number 5871107 |
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On the sum of powers of two consecutive Fibonacci numbers (English)
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29 March 2011
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Let \(F_n\) be the Fibonacci numbers, \(s\) a positive integer. The authors prove that if \(F_n^s+F_{n+1}^s \) is a Fibonacci number for all suficiently large \(n\), then \(s=1\) or \(2\).
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Fibonacci numbers
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