Confirming a Summation Identity

  • Thread starter eddybob123
  • Start date
  • #1
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Hi all, I found this "identity" online on Wikipedia, and realized that it would actually come in pretty useful for me, if only I could prove that it is true. Can you guys help me on that?:
$$\sum_{k=1}^nk^m=\frac{1}{m+1}\sum_{k=0}^{m}\binom{m+1}{k}B_k\;n^{m-k+1}$$
where ##B_k## denotes the kth Bernoulli number.
 

Answers and Replies

  • #2
CompuChip
Science Advisor
Homework Helper
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Looks like the proof is also on Wikipedia :)
 
  • #3
115
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So the formula in my first post is correct?
 

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