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Math Help - [SOLVED] Sum of power series

  1. #1
    taras
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    [SOLVED] Sum of power series

    Series 1^k+2^k+...+n^k.
    I have found here: Power Series the formulas for 1<k<11. Could someone provide the formulas for 10<k<20 or more?

    Thanks.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by taras View Post
    Series 1^k+2^k+...+n^k.
    I have found here: Power Series the formulas for 1<k<11. Could someone provide the formulas for 10<k<20 or more?

    Thanks.
    You will find the sum for arbitary power k in terms of the Bernoulli polynomials and Bernoulli numbers here.

    RonL
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  3. #3
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