On Second Order Additive Coupled Fibonacci Sequences

Shikha Bhatnagar, Omprakash Sikhwal

Abstract


The coupled difference equations or recurrence relations involve two sequences of integers in which the elements of one sequence are part of the generalization of the other, and vice versa.  K. T. Atanassov was first introduced concept of additive coupled Fibonacci sequences in 1985. The coupled Fibonacci sequences are new direction of generalization of Fibonacci sequence. He defined four different schemes with properties of specific schemes for additive coupled Fibonacci sequences of second order. In this paper, we present some properties of additive coupled Fibonacci sequences of second order for real numbers. 


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References


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MAYFEB Journal of Mathematics 
Toronto, Ontario, Canada
MAYFEB TECHNOLOGY DEVELOPMENT
ISSN 2371-6193