On perfect powers that are sums of two Pell numbers
Periodica Mathematica Hungarica, Volume 82, No. 1, Year 2021
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Let Pk denote the kth term of the Pell sequence. In this paper we find all solutions of the exponential Diophantine equation Pn+ Pm= ys in positive integer variables (m, n, y, s) under the assumption n≡m(mod2).