Sum of cubes is square of sum
@article{Barbeau2013SumOC, title={Sum of cubes is square of sum}, author={E. Barbeau and Samer Seraj}, journal={arXiv: Number Theory}, year={2013} }
Inspired by the fact that the sum of the cubes of the firstn naturals is equal to the square of their sum, we explore, for eachn, the Diophantine equation representing all non-trivial sets of n integers with this property. We find definite answers to the standard question of infinitude of the solutions as well as several other surprising results.
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