Sum of two dimensional Fibonacci sequence by solutions of second order difference equations
Authors: Xavier G.B.A., Kumar S.U.V., Mohan B.
Keywords: two dimensional difference operator; two dimensional Fibonacci sequence; closed form solution; Fibonacci summation formula
Abstract:
In this paper, we introduce two dimensional difference operator and its inverse by which we obtain two dimensional Fibonacci sequence and its sum. Some theorems and interesting results on the sum of the terms of two dimensional Fibonacci sequence are derived. Suitable examples are provided to illustrate our results.
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