| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594349 | Journal of Number Theory | 2012 | 21 Pages |
Abstract
We show that essentially the Fibonacci sequence is the unique binary recurrence which contains infinitely many three-term arithmetic progressions. A criterion for general linear recurrences having infinitely many three-term arithmetic progressions is also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
