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Largest possible area of a Heronian triangle with perimeter A051518(n).
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%I #18 Jun 18 2020 14:01:27

%S 6,12,12,24,30,48,60,60,84,66,108,120,126,84,150,192,132,204,210,240,

%T 114,156,300,336,264,360,432,420,480,468,540,330,588,456,600,756,768,

%U 780,726,816,840,972,1080,456,924,1170,1200,1260,984,1344,1020,1290,522,1452

%N Largest possible area of a Heronian triangle with perimeter A051518(n).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>

%e a(1) = 6; there is one Heronian triangle with perimeter A051518(1) = 12, which is [3,4,5] and its area is 3*4/2 = 6.

%e a(6) = 48; there are two Heronian triangles with perimeter A051518(6) = 32, [4,13,15] and [10,10,12], with areas 24 and 48. The largest area of the two triangles is 48.

%Y Cf. A051516, A051518, A070138, A096468, A298079, A298614, A305717.

%Y Cf. A330912, A330915, A330916, A330921.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 02 2020