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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |