The k-step -generalized Pell-Padovan sequence in finite groups

In this paper, we study the k-step -generalized Pell-Padovan sequence modulo . We define the k-step -generalized Pell-Padovan sequences in a finite group then we examine the periods of these sequences. Also, we obtain the periods of the k-step generalized Pell-Padovan sequences in the semidihedral group