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Number of nonprimitive Heronian triangles with mutually distinct side lengths and perimeter A334674(n).
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%I #5 Jun 18 2020 14:07:06

%S 1,1,1,2,1,2,1,3,1,1,3,5,1,4,2,2,3,1,2,4,1,1,2,4,3,9,1,7,5,3,1,2,2,2,

%T 5,11,2,6,3,1,8,10,6,1,9,7,2,1,7,8,5,9,2,4,7,7,15,1,3,15,2,1,1,2,2,7,

%U 11,3,3,6,3,16,3,9,13,8,6,5,21,17,6,2,12,9,8,3,6,1,11,1

%N Number of nonprimitive Heronian triangles with mutually distinct side lengths and perimeter A334674(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 nonprimitive Heronian triangle with perimeter A334674(1) = 24 whose side lengths are mutually distinct, [6,8,10].

%e a(2) = 1; there is one nonprimitive Heronian triangle with perimeter A334674(2) = 36 whose side lengths are mutually distinct, [9,12,15].

%Y Cf. A331366, A334665, A334674.

%K nonn

%O 1,4

%A _Wesley Ivan Hurt_, May 07 2020