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## Homework Statement

[tex] \sum_{i=0}^{n} i^{p} = \frac {(n+1)^{p+1}}{p+1} + \sum_{k=1}^{p} \frac {B_{k}}{p-k+1} (^{p}_{k}) (n+1)^{p-k+1} [/tex]

where B

_{k}is a Bernoulli number.

There is no actual question here I would just like to know if this formula is for sums of i to any power, of course its rather cumbersome but the question still stands. All I want to know is if I understand what it is doing.

edit: oh and

[tex] (^{p}_{k}) = \frac {p!}{k!(p-k)!} \;\; 0 \leq k \leq p [/tex]

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