Some properties of the generalized Fibonacci sequence $\{q_n\}$ by matrix methods

Sang Pyo Jun, Kwang Ho Choi

Abstract


In this note, we consider a generalized Fibonacci sequence $\{q_n\}$. We give a generating matrix for $\{q_n\}$. With the aid of this matrix, we derive and re-prove some properties involving terms of this sequence


Keywords


generalized Fibonacci sequences, matrix methods, tridiagonal matrices

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References


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DOI: http://dx.doi.org/10.11568/kjm.2016.24.4.681

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ISSN: 1976-8605 (Print), 2288-1433 (Online)

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