Resumen

FALCON, Sergio. On the generating matrices of the Ê-Fibonacci numbers. Proyecciones (Antofagasta) [online]. 2013, vol.32, n.4, pp.347-357. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172013000400004.

In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Fibonacci numbers. And from the cofactor matrix of one of these matrices we will prove some formulas for the k-Fibonacci numbers differently to the traditional form. Finally, we will study the eigenvalues of these tridiagonal matrices.

Palabras clave : k-Fibonacci numbers; Cofactor matrix; Eigenvalues..

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