Thread: Diophantine Question View Single Post
 2009-09-22, 19:32 #11 maxal     Feb 2005 22×32×7 Posts I was discussing connection to the problem of finding sequence of squares with a constant second difference. A trivial solution to this problem is given by squares of the terms of an arithmetic progression. A non-trivial (and hard-to-find) solution is a sequence of squares whose bases do not form an arithmetic progression. In this respect, the sequence of squares $\left( \frac{n}{d_i} + d_i \right)^2$ is trivial while the sequence $\left( \frac{n}{d_i} - d_i \right)^2$ is non-trivial. Last fiddled with by maxal on 2009-09-22 at 19:34