Double-Free Set
A Set of Positive integers is double-free if, for any integer 
, the Set 
(or equivalently, 
Implies 
). Define
Then an asymptotic formula is
(Wang 1989).See also Triple-Free Set
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/triple/triple.html Wang, E. T. H. ``On Double-Free Sets of Integers.'' Ars Combin. 28, 97-100, 1989.
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