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%I #26 Jun 16 2020 13:12:56
%S 1,1,1,1,2,1,2,1,2,3,1,3,2,1,1,2,3,1,1,3,8,1,4,4,3,1,2,10,1,5,1,5,3,6,
%T 1,9,2,5,6,6,2,3,5,6,8,1,10,1,1,1,6,8,3,2,2,12,8,4,6,5,4,11,14,5,1,11,
%U 7,3,1,6,1,2,14,11,1,9,14,11,1,4,11,3,1,11,4,2,7,4,12
%N Number of Heronian triangles with mutually distinct side lengths and perimeter A334665(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) = 1; there is one Heronian triangle with perimeter A334665(1) = 12 such that all side lengths are mutually distinct, [3,4,5].
%e a(4) = 1; there is one Heronian triangle with perimeter A334665(4) = 32 such that all side lengths are mutually distinct, [4,13,15].
%Y Cf. A051516, A051518, A334665.
%K nonn
%O 1,5
%A _Wesley Ivan Hurt_, May 07 2020
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