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%I #10 Jun 16 2020 13:53:05
%S 4,5,5,8,12,13,13,15,15,13,17,17,25,24,25,29,25,25,25,29,20,26,30,35,
%T 26,40,39,40,41,40,51,33,48,38,50,45,58,41,60,51,65,65,61,60,56,68,65,
%U 75,50,72,61,61,60,74,80,84,68,65,87,89,90,82,87,80,89,102,100,74
%N Largest possible side length, b, of a Heronian triangle with perimeter A051518(n), such that a <= b <= c.
%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) = 4; there is one Heronian triangle with perimeter A051518(1) = 12, which is [3,4,5] and its middle side is 4.
%e a(6) = 13; there are two Heronian triangles with perimeter A051518(6) = 32, [4,13,15] and [10,10,12], whose middle side lengths are 13 and 10. The largest of these is 13.
%Y Cf. A051516, A051518, A070138, A096468, A298079, A298614, A305717.
%Y Cf. A330912, A330915, A330916, A330921.
%Y Cf. A330917, A331199.
%K nonn
%O 1,1
%A _Wesley Ivan Hurt_, May 03 2020