Positivity of third order linear recurrence sequences

  • Authors:
  • Vichian Laohakosol;Pinthira Tangsupphathawat

  • Affiliations:
  • Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand;Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2009

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Abstract

It is shown that the Positivity Problem for a sequence satisfying a third order linear recurrence with integer coefficients, i.e., the problem whether each element of this sequence is nonnegative, is decidable.