The Generalized (s,t)-Sequence and its Matrix Sequence

Abstract

In this study, we first define a new sequence in which it generalizes (s,t)‐Fibonacci and (s,t)‐Lucas sequences at the same time. After that, by using it, we establish generalized (s,t)‐matrix sequences. Finally we present some important relationships among this new generalization, (s,t)‐Fibonacci and (s,t)‐Lucas sequences and their matrix sequences.