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).

**References**

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/triple/triple.html

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1999-05-26