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
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: firstname.lastname@example.org Internet: www.iam.fmph.uniba.sk/amuc
© 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE