Thought I just had: "wait, if you take an even number and add two, you get the next even number! This changes everyth- oh." Basically, if I smoked the most potent weed in the world I'd probably turn into a normal person.
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The reason this is true is pretty obvious if you sit down and actually draw a bunch of squares on a piece of paper (a 1x1 square, a 2x2 square, a 3x3 square) but it's still really cool when you first realize
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The sum 2k-1 with k going from 1 to infinity being the same as k^2 essentially ^^
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