0761
Source:
June 23, 2008
inductionstrong induction
Problem Statement
Let be a sequences, given by x_1 \equal{} 1, x_2 \equal{} 2 and
x_{n \plus{} 2} \equal{} \frac { x_{n \plus{} 1}^2 \plus{} 3 }{x_n} .
Prove that is the sum of two perfect squares.