Interesting correlation between squaring a number N and the sum of the first N odd elements.
1 * 1 = 1 = 1
2 * 2 = 4 = 1+3
3 * 3 = 9 = 1+3+5
4 * 4 = 16 = 1+3+5+7
5 * 5 = 25 = 1+3+5+7+9
6 * 6 = 36 = 1+3+5+7+9+11
7 * 7 = 49 = 1+3+5+7+9+11+13
8 * 8 = 64 = 1+3+5+7+9+11+13+15
9 * 9 = 81 = 1+3+5+7+9+11+13+15+17
n * n = n**2 = sum of the first Nth odd elements
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