Necklace Polynomial - Values

Values

  • M(α,1) = α
  • M(α,2) = (α2 − α)/2
  • M(α,3) = (α3 − α)/3
  • M(α,4) = (α4 − α2)/4
  • M(α,5) = (α5 − α)/5
  • M(α,6) = (α6 − α3 − α2 + α)/6
  • M(α,pn) = (αpn − αpn − 1)/pn for p prime
  • where (i,j) is the highest common factor of i and j and is their least common multiple.

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