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Question Number 6009 by FilupSmith last updated on 09/Jun/16
Is there a general solution to:  S=Σ_(i=1) ^n i^k ,     k∈Z, k≥1
$$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{general}\:\mathrm{solution}\:\mathrm{to}: \\ $$$${S}=\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}{i}^{{k}} ,\:\:\:\:\:{k}\in\mathbb{Z},\:{k}\geqslant\mathrm{1} \\ $$

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