Generalized Coupled Fibonacci Sequences of Second Order
Abstract
The coupled Fibonacci sequences are new direction of generalization of Fibonacci sequence. In the recent years, there has been much interest in development of coupled Fibonacci sequences. The concept of coupled Fibonacci sequence was first introduced by Atanassov, K. T. in 1985. Generalized coupled Fibonacci sequences of second order are defined by recurrence relations and with initial conditions where are real numbers. In this paper, sum formulae of generalized coupled Fibonacci sequences of second order are presented and derived.
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