ADDENDA TO "PYTHAGOREAN TRIPLES CONTAINING FIBONACCI NUMBERS: SOLUTIONS FOR Fn

then the Fibonacci numbers are given by Fn = Fn (1), and the Pell numbers are Pn = Fn(2). Cohn [4] has proved that the only perfect squares among the sequences {Fn(a)}9 a odd, are 0 and 1, and whenever a = k, a itself. Certain cases are known for a even [5]. The cited results of Cohn and Ljunggren mean that Conjectures 2.3,3.2, and 4.2 of [3] are true, and that the earlier results can be strengthened as follows. If (n,k) = 1, there are no solutions in positive integers for F%(a) + F£ (a) = K, n > k > 0, when a is odd and a >_ 3.