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A new algorithm is proposed to generate a formula for the sum of integer powers <i>S<sub>p</sub></i>(<i>n</i>) = Σ<sup><i>n</i></sup><sub><i>k</i>=1</sub><i>k<sup>p</sup></i> for an arbitrary positive integer <i>p</i>. This formula plays an important role in scientific computation, numerical analysis, complexity analysis, academic research, and even in… (More)

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