Matrix Representation of Bi-Periodic Pell Sequence

Abstract

In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic properties and sum formulas are examined.

Keywords

• pell sequence
• generating function
• binet formula