Posted by Jillian on Wednesday, April 4, 2012 at 6:30am.
Hmm. Not sure just what's wanted, but recall that
(n+1)^2 = n^2+2n+1
so, if after each increase there are
n^2+2n tables, then you need to add 1 more to keep it a perfect square.
So, the sequence would be
3,7,15,24,35,...
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