In this article, the method of computing $1+2+\dots$ is outlined. Is there a similar method for computing $1^2+2^2+\dots$? What about for the general power $n$? (That is, $1^n+2^n+\dots$)
Sum of perfect squares to infinity
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sequences-and-series
divergent-series
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1This is homework? – 2012-07-26
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0[This question may prove useful](http://math.stackexchange.com/q/155166/25554) – 2012-07-27
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0check this [wolframalpha](http://mathworld.wolfram.com/PowerSum.html) article – 2012-10-27