Reduced diophantine quadruples with the binary recurrence Gn = AGn–1 – Gn–2
Given a positive integer A ≠ 2. In this paper, we show that there do not exist two positive integer pairs {a,b} ≠ {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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2015-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2015-0022 |