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The square numbers can be defined by the recursive formula a1 = 1, and an = an-1 + (2n - 1), where n > 1. The first five square numbers are

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  1. 8 October, 00:40
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    1, 4, 9, 16, and 25. Use the formula to get a2 = 1 + (2*2 - 1) = 4, a3 = 4 + (2*3 - 1) = 9, etc. Also notice that for all n, an = n2.
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