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Zeckendorf representations of integers by Fibonacci and Pell numbers

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2006
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Abstract (EN)

In this article, it is revealed that Zeckendorf?s Theorem which is definedfor Fibonacci numbers, can be applied for Pell numbers by makingsuitable adjustments. Furthermore, it has been indicated that undersome circumstances, integers can be written uniquely as a sum of theFibonacci and Pell numbers. To ease the notation of integers, Zalghoritm is used for Fibonacci numbers, ZP alghoritm and Greedyalghortim is used for Pell numbers.Science Code : 204.1.025Key words : Fibonacci numbers, Pell numbersPage number : 71Advisor : Prof. Dr. Dursun TAŞCI

Author

Gül Karadeniz

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Gül Karadeniz (Master Thesis). Zeckendorf representations of integers by Fibonacci and Pell numbers, 2006, Gazi University.

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