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Area of triangles with sides whose squares are integers and with positive integer area, ordered by longest side, then second longest side and finally shortest side.
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%I #2 Mar 30 2012 18:51:38

%S 1,1,2,2,1,3,1,2,3,4,3,2,1,3,3,6,2,4,2,4,6,1,3,5,2,4,3,6,2,3,1,5,1,4,

%T 4,2,6,7,3,6,8,6,3,1,3,5,6,4,8,2,5,10,1,4,2,6,3,7,9,5,9,7,3,2,4,1,8,9,

%U 5,7,10,3,6,9,12,4,2,8,6,4,2,10,8,12,6,2,6,3,1,7,5,10,11,4,8,7,14,3,6,3

%N Area of triangles with sides whose squares are integers and with positive integer area, ordered by longest side, then second longest side and finally shortest side.

%H A. Bogomolny, <a href="http://www.cut-the-knot.com/pythagoras/Loyds.shtml">Sam Loyd's Geometric Puzzle</a>

%e a(6)=3 since the triangle with sides sqrt(9), sqrt(8) and sqrt(5) has area 3.

%Y Cf. A055595, A070783, A070784, A070785, A070787.

%K nonn

%O 1,3

%A _Henry Bottomley_, May 07 2002