Numerical and Symbolic Studies of the Peaceable Queens Problem

Yukun Yao, Doron Zeilberger

Research output: Contribution to journalArticlepeer-review


We discuss, and make partial progress on, the peaceable queens problem, the protagonist of OEIS sequence A250000. Symbolically, we prove that Jubin’s construction of two pentagons is at least a local optimum. Numerically, we find the exact numerical optimums for some specific configurations. Our method can be easily applied to more complicated configurations with more parameters.

Original languageEnglish (US)
Pages (from-to)269-279
Number of pages11
JournalExperimental Mathematics
Issue number1
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


  • 05A15
  • OEIS
  • combinatorics
  • experimental mathematics
  • peaceable queens


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