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Published in:
2020 | OriginalPaper | Chapter
7. Sums of the Powers of Successive Integers
Author : Randolph Nelson
Published in: A Brief Journey in Discrete Mathematics
Publisher: Springer International Publishing
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Abstract
What happens when you sum successive powers of integers? To investigate this, define An easy program generates the following table of numeric values for small k and n.
$$\displaystyle S_{k,n} = 1 + 2^k + 3^k + \cdots + n^k = \sum _{i=1}^n i^k, \ \ \ \ k=0, 1, \ldots $$