The positivity problem for fourth order linear recurrence sequences is decidable
Volume 128 / 2012
Colloquium Mathematicum 128 (2012), 133-142
MSC: Primary 11B37; Secondary 03D20.
DOI: 10.4064/cm128-1-11
Abstract
The problem whether each element of a sequence satisfying a fourth order linear recurrence with integer coefficients is nonnegative, referred to as the Positivity Problem for fourth order linear recurrence sequence, is shown to be decidable.