k-Jacobsthal And k-Jacobsthal-Lucas Dizileri İçin Yeni Özellikler

Special integer sequences can be generalized by different many ways. The basic form of these ways is to add a parameter to recurrence relation. From special sequences, k-Jacobsthal, k-Jacobsthal-Lucas sequences are obtained adding a parameter to the recurrence relation of the Jacobsthal and Jacobsthal-Lucas numbers. In literature, there are some papers concerning the properties of k-Jacobsthal and k-Jacobsthal-Lucas sequences. But, we think they are not sufficient, so we aim to study new properties of these generalized sequences. The features related with k-Jacobsthal and k-Jacobsthal-Lucas sequences will be acquired through the Binet formulas, recurrence relations, generating functions of these numbers.