ON BALANCING NUMBERS BY THE MATRIX METHOD
DOI: 10.18173/2354-1059.2025-0049
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Tóm tắt
In this study, we define a balancing B-matrix which is similar to the Fibonacci Q-matrix and the Lucas QL-matrix. Using this matrix representation, we obtain some well-known equalities and a Binet-like formula for balancing numbers. Moreover, some arithmetic properties of balancing numbers are established.
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