Irmak, Nurettin2022-05-232022-05-2320211582-3067https://hdl.handle.net/20.500.13091/2471Let (t(n))(n >= 0) be defined by the recurrence t(n) = Atn-1 + t(n-2) + t(n-3) with t(0) = 0, t(1) = 1, t(2) = A and A >= 2 integer. In this paper, we prove that there does not exist integers 1 <= a(1) < a(2) < a(3) < a(4) such that a(1)a(2) + 1, a(2)a(3) + 1, a(3)a(4) + 1 and a(1)a(4) + 1 are Tribonacci numbers.eninfo:eu-repo/semantics/closedAccessTribonacci numberdiophantine quadruplesTriplesArticle2-s2.0-85128645465