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Öğe Tribonacci numbers close to the sum 2a + 3b + 5C(Mathematica Scandinavica, 2016) Irmak N.; Szalay L.We show that there are exactly 22 solutions to the inequalities 0 ? Tn - 2a - 3b - 5C ? 10. where Tn denotes thenth term (n ? 0) of the Tribonacci sequence, andO ? a,b ? c are integers. All the solutions are explicitly determined.Öğe Two-periodic ternary recurrences and their Binet-formula(2012) Alp M.; Irmak N.; Szalay L.The properties of k-periodic binary recurrences have been discussed by several authors. In this paper, we define the notion of the two-periodic ternary linear recurrence. First we follow Cooper's approach to obtain the corresponding recurrence relation of order six. Then we provide explicit formulae linked to the three possible cases.