Spectral norm, Eigenvalues and Determinant of Circulant Matrix involving the Generalized $k$-Horadam numbers

Abstract

In this paper, firstly, we define the generalized $k$-Horadam sequence and investigate some of its properties. In addition, by also defining the circulant matrix $C_n(H)$ whose entries are the generalized $k$-Horadam numbers, we compute the spectral norm, eigenvalues, and the determinant of this matrix.