Mention Faulhaber's formula
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@ -525,7 +525,9 @@ Each sum of the form
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where $k$ is a positive integer,
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has a closed-form formula that is a
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polynomial of degree $k+1$.
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For example,
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For example\footnote{\index{Faulhaber's formula}
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There is even a general formula for such sums, called \key{Faulhaber's formula},
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but it is too complex to be presented here.},
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\[\sum_{x=1}^n x = 1+2+3+\ldots+n = \frac{n(n+1)}{2}\]
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and
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\[\sum_{x=1}^n x^2 = 1^2+2^2+3^2+\ldots+n^2 = \frac{n(n+1)(2n+1)}{6}.\]
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