four parameters and then derived some algebraic identities on it including, the sum of first non-zero terms, recurrence relations, rank of its terms, powers of companion matrix and the limit of cross-ratio of four consecutive terms of it.
Abstract
In this work, we define a new integer sequence related to Fibonacci and Pell sequences with four parameters and then derived some algebraic identities on it including, the sum of first non-zero terms, recurrence relations, rank of its terms, powers of companion matrix and the limit of cross-ratio of four consecutive terms of it.