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Two-periodic ternary recurrences and their Binet-formula

Author(s): M. Alp | N. Irmak | L. Szalay

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 2;
Start page: 227;
Date: 2012;
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Keywords: Two-periodic | Binet-formula | ternary recurrence

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.
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