Triple-Free Set
A Set of Positive integers is called weakly triple-free if, for any integer 
, the Set 
. It is called strongly triple-free if 
Implies 
and 
. Define
where
denotes the Cardinality of 
, then
and
(Finch).See also Double-Free Set
References
Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/triple/triple.html
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