DLMF:24.4.E7 (Q7420)

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DLMF:24.4.E7
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    k = 1 m k n = B n + 1 ( m + 1 ) - B n + 1 n + 1 , superscript subscript 𝑘 1 𝑚 superscript 𝑘 𝑛 Bernoulli-polynomial-B 𝑛 1 𝑚 1 Bernoulli-number-B 𝑛 1 𝑛 1 {\displaystyle{\displaystyle\sum_{k=1}^{m}k^{n}=\frac{B_{n+1}\left(m+1\right)-% B_{n+1}}{n+1},}}
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