Reduced diophantine quadruples with the binary recurrence G n = AG n − 1 − G n − 2
نویسندگان
چکیده
Given a positive integer A 6= 2. In this paper, we show that there do not exist two positive integer pairs {a, b} 6= {c, d} such that the values of ac+ 1, ad+ 1 and bc+ 1, bd+ 1 are the terms of the sequence {Gn}n≥0 which satisfies the recurrence relation Gn = AGn−1 − Gn−2 with the initial values G0 = 0, G1 = 1.
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