More on Faulhaber's theorem for sums of powers of integers

José L. Cereceda

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arXiv · 2004.07689

More on Faulhaber's theorem for sums of powers of integers

José L. Cereceda

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Abstract

In this note we consider the theorem established in arXiv:1912.07171 concerning the sums of powers of the first $n$ positive integers, $S_k = 1^k + 2^k + \cdots + n^k$, and show that it can be used to demonstrate the classical theorem of Faulhaber for both cases of odd and even $k$.

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José L. Cereceda. 2020-04-16. More on Faulhaber's theorem for sums of powers of integers. https://arxiv.org/abs/2004.07689

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