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Is there any better algorithm to solve this equation other than brute force. $1^k+2^k+3^k+...+n^k=$ formula? Here $k$ is a natural number, $n$ is a natural number.

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marked as duplicate by Claude Leibovici, mookid, egreg, Hagen von Eitzen, MathOverview Mar 29 '14 at 12:39

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