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Connection of Balancing numbers with solution of a system of two higher-order difference equations
We provide some theoretical justifications pertaining to the representation for the solution of the system of the higher-order rational difference equationswhere N 0 = N ∪ {0}, and the initial conditions x -k , x -k+1 , . .., x 0 , y -k , y -k+1 , . .., …