Diophantine triples with distinct binary recurrences

 Luca, Florian and Szalay, László 

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In this paper, we look at Diophantine triples with values in three different binary recurrence sequences. These are the Fibonacci and Pell sequences and the sequence of one more of powers of a given prime p. The novelty of the article is the appearance of three different sequences, as up to now the analogous problem had been investigated only for one sequence.



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 Luca, Florian,  Szalay, László