MathDB
Bound but not periodic recursion

Source: KöMaL A. 732

November 12, 2018
number theoryalgebra

Problem Statement

Does there exist an infinite sequence a1,a2,…a_1,a_2,\dotsc of real numbers which is bounded, not periodic, and satisfies the recursion an+1=anan−1+1a_{n+1}=a_na_{n-1}+1?
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