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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 smallk andn.
Not only could nobody but Gauss have produced it,
but it would never have occurred to any but Gauss
that such a formula was possible
Albert Einstein (1879–1955)
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Notes
- 1.
This corresponds to the sum of powers of variety-2 integers, see equation (3.3).
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(Home address), Beverly, MA, USA
Randolph Nelson
- Randolph Nelson
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Nelson, R. (2020). Sums of the Powers of Successive Integers. In: A Brief Journey in Discrete Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-37861-5_7
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