



 
Cillian, As a warmup, you can do the following: (a) Prove that there is a maximum of one even number in the sequence (the very first).
(b) Prove that there is a maximum of one odd square in the sequence.
You can then factor the left hand side, and check the parity of the terms involved to draw a conclusion. This should evenhelp you to show that there is only one such sequence with two perfect squares. Claude  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 