Yağmur, Tülay13.07.20192019-07-1613.07.20192019-07-1620191225-69510454-8124https://doi.org/10.5666/KMJ.2019.59.1.23https://hdl.handle.net/20.500.12451/4599In this paper, we first define generalizations of Pell and Pell-Lucas sequences by the recurrence relations p(n) = 2ap(n-1) + (b - a(2))p(n-2) and q(n) = 2aq(n-1) + (b - a(2))q(n-2) with initial conditions p(0) = 0, p(1) = 1, and q(0) = 2, q(1) = 2a, respectively. We give generating functions and Binet's formulas for these sequences. Also, we obtain some identities of these sequences.eninfo:eu-repo/semantics/closedAccessPell SequencePell-Lucas SequenceArticle591233410.5666/KMJ.2019.59.1.23Q3WOS:000465142300003N/A