This paper presents an analytic study of determining all the possible solutions of the Diophantine equations such that qₖ = Jₘ Jₙ and Jₖ = qₘ qₙ. These give intersections of the Modified Pell and Jacobsthal numbers too for the case where $ m = 1 $ or $ n = 1 $.
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Daşdemir et al. (2024) studied this question.
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