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Part of 2006 Estonia Math Open Junior Contests

Problems(1)

Estonian Math Competitions 2005/2006

Source: Juniors Problem 8

A computer outputs the values of the expression (n\plus{}1) . 2^n for n \equal{} 1, n \equal{} 2, n \equal{} 3, etc. What is the largest number of consecutive values that are perfect squares?

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