Title: A system of quadratic Diophantine equations
Abstract: + 1 and y\x 2 + 1 if and only if x and y are consecutive elements of the sequence 1, 1, 2, 5, 13, 34, obtained from the classical Fibonacci sequence by striking out alternate terms.For a = ± 2, the chief differences are that there is an infinite number of sequences and that 0 can be a term of a sequence.