Sequence of integers with special property

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mutasimmim
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Sequence of integers with special property

Unread post by mutasimmim » Tue Apr 28, 2015 9:28 am

Prove that for positive integer $n>2$ one can find $n$ positive integers $a_1<a_2<a_3...<a_n$ such that for $i=1,2,...,n-2$, the line segments with length $a_i, a_{i-1},a_{i-2}$ forms a triangle with positive integer area.

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