Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences

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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