Geodesic
On the number of sum-free sets in an interval of natural numbers
Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 3-7

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A set $A$ of integers is called sum-free if $a+b\notin A$ for any $a,b\in A$. For an arbitrary $\varepsilon>0$, let $s_{\varepsilon}(n)$ denote the number of sum-free sets in the segment $[(1/4+\varepsilon)n,n]$. We prove that for any $\varepsilon>0$ there exists a constant $c =c(\varepsilon)$ such that $$ s_{\varepsilon}(n)\le c2^{n/2}. $$ This research was supported by the Russian Foundation for Basic Research, grant 01–01–00266. 
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K. G. Omel'yanov; A. A. Sapozhenko. On the number of sum-free sets in an interval of natural numbers. Diskretnaya Matematika, Tome 14 (2002) no. 3, pp. 3-7. http://geodesic.mathdoc.fr/item/DM_2002_14_3_a0/