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Algebra Level 4

Find the sum of the first 72 terms of the series

1 2 + ( 1 2 + 2 2 ) + ( 1 2 + 2 2 + 3 2 ) 1^2 +\left(1^2+ 2^2\right) + \left(1^2+ 2^2+ 3^2\right)\ldots


The answer is 236076.

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