Irmak, NurettinSzalay, Laszlo2019-08-012019-08-0120140017-095X1846-7989https://dx.doi.org/10.3336/gm.49.2.05https://hdl.handle.net/11480/4223In this study, we show that there is no positive integer triple {a, b, c} such that all of ab+1, ac+1 and bc+1 are in the sequence {u(n)}n= 0 satisfies the recurrence un=Aun-1-un-2 with the initial values u0=0, u1=1. Further, we investigate the analogous question for the quadruples {a,b,c,d} with abc+1=ux, bcd+1=uy, cda+1=uz and dab+1=ut, and deduce the non-existence of such quadruples.eninfo:eu-repo/semantics/closedAccessDiophantine triplesDiophantine quadruplesbinary recurrenceArticle49230331210.3336/gm.49.2.052-s2.0-84919334074Q3WOS:000346602100005Q4