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%I #8 Mar 31 2012 10:26:00
%S 1,85,230,1054,205,5405,6510,18615,27335,45034,44556,22660,152889,
%T 89531,181220,53430,221595,304265,246380,720291,360910,595884,811954,
%U 1444915,1362295,40630,2504645,1304445,3311396,2385474,3647810,2420665,1641809
%N One eighty-fourth the area of primitive Pythagorean triangles with (increasing) square hypotenuses (precisely those of A008846).
%C For Pythagorean triples (x, y, z) satisfying x^2 + y^2 = z^2, we have 3 and 4 dividing either of x or y and 7 dividing x, y or (x^2 - y^2), so that 3*4*7 always divide x*y*(x^2 - y^2); if (x, y) be themselves the generators of another Pythagorean triple, (x^2 - y^2, 2*x*y, x^2 + y^2=z^2), the corresponding primitive Pythagorean triangle has area x*y*(x^2 - y^2) and is hence divisible by 84.
%Y Cf. A020882.
%K nonn
%O 1,2
%A _Lekraj Beedassy_, Jul 11 2002
%E Corrected and extended by _Ray Chandler_, Oct 28 2003
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