A note on generalized k-Horadam sequence

In this paper, we define generalized kk-Horadam sequence {Hk,n}n∈N{Hk,n}n∈N. After that, we study the properties of the generalized kk-Horadam sequence and prove some of these properties by means of determinant. Also, we obtain a generating function for the generalized kk-Horadam sequence.