Published January 1, 2015
| Version v1
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Balancing Diophantine triples with distance 1
Creators
- 1. Nigde Univ, Art & Sci Fac, Dept Math, TR-51100 Nigde, Turkey
- 2. Univ West Hungary, Inst Math, H-9400 Sopron, Hungary
Description
For a positive real number let the Balancing distance be the distance from to the closest Balancing number. The Balancing sequence is defined by the initial values , and by the binary recurrence relation , . In this paper, we show that there exist only one positive integer triple such that the Balancing distances , and all are exactly 1.
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