References
- [1] Andreescu, T., Andrica, D., Number Theory. Structures, Examples, and Problems, Birkhäuser, Boston-Basel-Berlin, 2009.
- [2] Andreescu, T., Andrica, D., Cucurezeanu, I., An Introduction to Diophantine Equations, Birkhäuser, Boston-Basel-Berlin, 2010.
- [3] DeLeon, M.J., Pell’s equation and Pell number triples, The Fibonacci Quarterly 14(1976), no.5, 456-460.
- [4] Halici, S., On some inequalities and Hankel matrices involving Pell, Pell-Lucas numbers, Mathematical Reports, 15(65)(2013), no. 1, 1-10.
- [5] Hoggatt, V.E., Jr., Fibonacci and Lucas Numbers, The Fibonacci Association, Santa Clara, 1969.
- [6] Hoggatt, V.E., Bicknell-Johnson, M., A primer for the Fibonacci XVII: generalized Fibonacci numbers satisfying
$u_{n + 1} u_{n - 1} - u_n^2 = \pm 1$ - [7] Jones, J.P., Diophantine representation of Fibonacci numbers, The Fibonacci Quarterly 13(1975), no. 1, 84-88.
- [8] Jones, J.P., Diophantine representation of the Lucas numbers, The Fibonacci Quarterly 14(1976), no. 2, 134.
- [9] Jones, J.P., Representation of solutions of Pell equations using Lucas sequences, Acta Academiae Pedagogicae Agriensis, Sectio Matematicae 30(2003), 75-86.
- [10] Keskin, R., Demiturk, N., Solutions to Some Diophantine Equations Using Generalized Fibonacci and Lucas Sequences, Ars Combinatoria, Vol.CXI, July, 2013, 161-179.
- [11] McDaniel, W.L., Diophantine representation of Lucas sequences, The Fibonacci Quarterly 33(1995), no.1, 59-63.
- [12] Savin, D., About a Diophantine Equation, Analele Sţ. Univ. Ovidius Constanţa, 17(3)(2009), 241-250.
- [13] Zeckendorf, E., Représentation des nombres naturels par une somme de nombres de Fibonacci ou des nombres de Lucas, Bull. Soc. R. Sci. Liège, 41, 179-182(1972).