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Square of longest side 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.
4

%I #2 Mar 30 2012 18:51:38

%S 4,5,5,8,8,9,10,10,10,10,12,13,13,13,15,15,16,16,16,16,16,17,17,17,17,

%T 17,18,18,20,20,20,20,20,20,20,20,20,20,20,20,20,24,24,25,25,25,25,25,

%U 25,25,25,25,26,26,26,26,26,26,26,26,27,28,29,29,29,29,29,29,29,29,29

%N Square of longest side 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)=9 since the triangle with sides sqrt(9), sqrt(8) and sqrt(5) has area 3.

%Y Cf. A055592, A070784, A070785, A070786, A070787.

%K nonn

%O 1,1

%A _Henry Bottomley_, May 07 2002