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It seems that current proof given in the article could be simplified by using <math>1^2+2^2+\ldots+n^2=1+2+2+3+3+3+\ldots+n+n+\ldots+n</math> instead of <math>1^2+2^2+\ldots+n^2=(2n-1)+(2n-3)+(2n-3)+\ldots+1+1+\ldots+1</math>, with sum of the column still being <math>2n+1</math>. Unfortunately, I really can't be bothered to find citations for this proof. Fortunately, there are no citations for the current proof as well, so changing it won't make it worse. Opinions?
[[User:MYXOMOPbI4|MYXOMOPbI4]] ([[User talk:MYXOMOPbI4|talk]]) 03:51, 7 September 2017 (UTC)
:I'm not sure I see the point of long algebraic derivations at all, given that it's so straightforward to prove any such formula by induction. If you could replace this with a short conceptual visual (and sourced!) proof, that would be better, I think. —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 04:06, 7 September 2017 (UTC)
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