New integer representations as the sum of three cubes

@article{Beck2007NewIR,
  title={New integer representations as the sum of three cubes},
  author={Michael Beck and Eric Pine and Wayne Tarrant and Kim Yarbrough Jensen},
  journal={Math. Comput.},
  year={2007},
  volume={76},
  pages={1683-1690}
}
We describe a new algorithm for finding integer solutions to x 3 + y 3 + z 3 = k for specific values of k. We use this to find representations for values of k for which no solution was previously known, including k = 30 and k = 52. 
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