On the inverse of circulant matrix via generalized k-Horadam numbers

In this paper, by considering the circulant matrix Cn(H)=Circ(Hk,1Cn(H)=Circ(Hk,1, Hk,2,…,Hk,n) whose entries are the generalized k  -Horadam numbers, we present a new generalization to compute determinants and inverses of Cn(H)Cn(H). In fact the results in here are the most general statements to obtain the inverses and determinants in such matrices having the elements of all second order sequences.