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Sums of powers refer to mathematical expressions of the following form:
$$\sum _{k=1}^{n}{k}^{p}={1}^{p}+{2}^{p}++\dots +{\mathrm{n}}^{p}$$
where $(n,p)\in {\mathbb{N}}^{2}$. Here are a few interesting results:
J.P. Martin-Flatin