Sum-free sequence
From Wikipedia, the free encyclopedia
In mathematics, a sum-free sequence is an increasing positive integer sequence
such that for each k, nk is never a sum of preceding elements of the same sequence.
This definition is due to Paul Erdős, who was interested in finding sum-free sequences with a large sum of reciprocals.
An easy example of such a sequence
- 1, 2, 4, 8, 16, ...
The definition of sum-free sequence is different of that of sum-free set.
