Abstract
In this paper, we prove that positive integer solutions {an to an = {c1-1+c2-2+...+ck-k/d, c 1-1+c2-2+...+ck-k if d!c1-1+c 2-2+...+ckan-ki otherwise, where the c's are nonnegative integers, and d=c1-1+c2-2+...+ck, have the property that either {an} is periodic with period at most k, or {an} is unbounded.
Original language | English (US) |
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Pages (from-to) | 146-152 |
Number of pages | 7 |
Journal | Fibonacci Quarterly |
Volume | 46-47 |
Issue number | 2 |
State | Published - Dec 1 2008 |