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On generalized fibonacci and lucas numbers by matrix methods
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On generalized fibonacci and lucas numbers by matrix methods
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Abstract:
In this study we define the generalized Lucas V(p,q)-matrix similar to the generalized Fibonacci U(1, -1)-matrix. The V(p,q)-matrix is different from the Fibonacci U(p, q)-matrix, but is related to it. Using this matrix representation, we have found some well-known equalities and a Binet-like formula for the generalized Fibonacci and Lucas numbers.
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