Integer Subsets with High Volume and Low Perimeter

@inproceedings{Devlin2012IntegerSW,
  title={Integer Subsets with High Volume and Low Perimeter},
  author={Patrick Devlin},
  year={2012}
}
We explore a variation of the isoperimetric problem in which integer subsets take the role of geometric figures. More specifically, we consider the sequence P (n) introduced by Miller et al. and described in OEIS A186053. We provide the first exact formulas for P (n) including recursive relations via auxiliary functions as well as concise and satisfying… CONTINUE READING