Peker, BilgeSenay, Hasan2024-02-232024-02-2320151521-13981572-9206https://hdl.handle.net/20.500.12452/17763In this study, we find continued fraction expansion of Aid when d = a(2) + 2a where a is positive integer. We consider the integer solutions of the Pell equation x(2) - (a(2) + 2a) y(2) = N when N is an element of {+/-1, +/-4}. We formulate the n-th solution (x(n), y(n)) by using the continued fraction expansion. We also formulate the n-th solution (x(n), y(n)) via the generalized Fibonacci and Lucas sequences.eninfo:eu-repo/semantics/closedAccessDiophantine EquationsPell EquationsContinued FractionIntegerSolutionsGeneralized Fibonacci And Lucas SequencesArticle184721726Q4WOS:000348558700013Q3