Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Volume:23 Issue:5
Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

Authors : Alparslan KARGIN, Emre KİŞİ, Halim ÖZDEMİR

Pages : 929-933

View : 48 | Download : 12

Publication Date : 2019-10-01

Article Type : Research Paper

Abstract :The uniqueness of the sum of the elements of finite subsets of the odd or even indexed Fibonacci and Lucas sequences are proved. Moreover, it is shown that the odd or even indexed Fibonacci and Lucas sequences are superincreasing sequences. Furthermore, by utilizing the uniqueness properties established a new cryptology method is presented and exemplified.
Keywords : Fibonacci numbers, Lucas numbers, odd index, even index

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