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Old 2009-09-22, 19:32   #11
maxal
 
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Feb 2005

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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
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