2012 USAMO Problems/Problem 3
Problem
Determine which integers 
have the property that there exists an infinite sequence 
, 
, 
, 
of nonzero integers such that the equality
![\[a_k + 2a_{2k} + \dots + na_{nk} = 0\]](http://latex.artofproblemsolving.com/b/b/5/bb59afa27abb3e054ab7f2cb301e50ffcca5ad62.png)
holds for every positive integer 
.
Solution
See Also
| 2012 USAMO (Problems • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
