Thread: [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.

Originally Posted by taras

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

Some theory heir