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Pimchana Siricharuanun, Utsanee Leerawat,
Some identities for Gibonacci Sequence.
Int. J. Math. Comput. Sci., 20, no. 2, (2025), 489-493

DOI:

https://doi.org/10.69793/ijmcs/02.2025/utsanee

Keywords and phrases:

Fibonacci sequence, Lucas sequence, generalized Fibonacci-Lucas sequence, Gibonacci sequence.

Abstract:

In this paper, we employ matrix methods to analyze the Gibonacci sequence, a generalization of Fibonacci-Lucas sequences. We derive an explicit formula for the nth term of this sequence and delve into its fundamental properties.