Alp, MuratIrmak, NurettinSzalay, Laszlo2019-08-012019-08-0120150031-53031588-2829https://dx.doi.org/10.1007/s10998-014-0074-8https://hdl.handle.net/11480/3884For 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.eninfo:eu-repo/semantics/openAccessDiophantine triplesBalancing numbersArticle71111010.1007/s10998-014-0074-82-s2.0-84938216222Q2WOS:000358675000001Q4