288,1800,7200,....... What is the next number ?
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Consider (1/2) (n^2-1)^2 (n^2). For n=3 we get 288, for n=4 we get 1800, for n=5 we get 7200, so for n=6 we get (1/2) (6^2-1)^2 (6^2)=22050.