Broughan, Kevin A.Luca, Florian2010-02-212010-02-212010Broughan, K. A. & Luca, F. (2010). On the Fürstenberg closure of a class of binary recurrences. Journal of Number Theory, 130(3), 696-706.https://hdl.handle.net/10289/3629In this paper, we determine the closure in the full topology over Z of the set {un: n≥0}, where (un)n≥0 is a nondegenerate binary recurrent sequence with integer coefficients whose characteristic roots are quadratic units. This generalizes the result for the case when un=Fn was the nth Fibonacci number.application/pdfenThis is an author’s accepted version of an article published in the journal: Journal of Number Theory. ©2010 Elsevier Inc.full topologybinary recurrence sequencesprimitive divisorsJournal Article10.1016/j.jnt.2009.10.008