Master'sOpen Access

Zeckendorf representations of integers by Fibonacci and Pell numbers

2006
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Advisor: Prof. Dr. Dursun Taşçı

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

Dr. Gül Karadeniz

How to Cite

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

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