Abstract

ABSTRACT Among numerical sequences, the Fibonacci numbers have achieved a kind of celebrity status with such fabulous properties, it is no wonder that the Fibonacci numbers stand out as a kind of super sequence. Fibonacci numbers have been studied in many different forms for centuries and the literature on the subject is consequently, incredibly vast. The Fibonacci sequence has been generalized in a number of ways. The purpose of this paper is to demonstrate many of the properties of Coupled Fibonacci sequences of r order, which can be stated and proved for a much more general class.

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