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

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. [ABSTRACT FROM AUTHOR]