Geodesic
Two-periodic ternary recurrences and their Binet-formula
Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 227-232 
M. Alp; N. Irmak; L. Szalay; M. Alp; N. Irmak; L. Szalay. Two-periodic ternary recurrences and their Binet-formula. Acta mathematica Universitatis Comenianae, Tome 81 (2012) no. 2, pp. 227-232. http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a9/
@article{AMUC_2012_81_2_a9,
     author = {M. Alp and N. Irmak and L. Szalay and M. Alp and N. Irmak and L. Szalay},
     title = { Two-periodic ternary recurrences and their {Binet-formula}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {227--232},
     year = {2012},
     volume = {81},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2012_81_2_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.