ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXXI, 2 (2012)
p. 227 - 232

Two-periodic ternary recurrences and their Binet-formula

M. Alp, N. Irmak and L. Szalay

Received: January 21, 2012;   Accepted: June 1, 2012



Abstract.   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.

Keywords:  two-periodic; Binet-formula; ternary recurrence.  

AMS Subject classification: Primary:  11B37  




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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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