On Fibonacci and Lucas Numbers of the Form cx2
Refin Keskin and Zafer Yosma
Department of Mathematics
Facultyof Science and Arts
In this paper, by using some congruences concerning with Fibonacci and Lucas
numbers, we completely solve the Diophantine equations
Ln = 2Lmx2,
Fn = 2Fmx2,
Ln = 6Lmx2,
Fn = 3Fmx2,
Fn = 6Fmx2.
Full version: pdf,
(Concerned with sequence
Received April 29 2011;
revised version received August 18 2011; September 25 2011.
Published in Journal of Integer Sequences, October 16 2011.
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