
doi: 10.3390/math12010108
For an integer k≥2, let (Pn(k))n be the k-generalized Pell sequence which starts with 0,…,0,1 (k terms), and each term afterwards is given by Pn(k)=2Pn−1(k)+Pn−2(k)+⋯+Pn−k(k). In this paper, we determine all solutions of the Markov equation x2+y2+z2=3xyz, with x, y, and z being k-generalized Pell numbers. This paper continues and extends a previous work of Kafle, Srinivasan and Togbé, who found all Markov triples with Pell components.
Markov equation, generalized Pell number, QA1-939, Markov triple, Mathematics
Markov equation, generalized Pell number, QA1-939, Markov triple, Mathematics
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