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A070785 Square of shortest 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 2,1,4,4,1,5,2,2,4,8,6,4,1,4,3,12,5,8,2,5,13,4,5,8,1,4,4,10,4,5,2,10,

%T 1,5,4,1,9,13,2,8,16,12,3,5,4,8,9,4,16,1,5,20,4,8,2,8,2,10,18,4,15,14,

%U 8,4,5,1,13,17,4,8,16,6,6,12,24,10,5,16,9,4,1,17,10,26,5,8,10,4,2,10,4

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

%Y Cf. A055594, A070783, A070784, A070786, A070787.

%K nonn

%O 1,1

%A _Henry Bottomley_, May 07 2002

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