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Perimeters of nonprimitive Heronian triangles with mutually distinct side lengths.
1

%I #9 Feb 01 2021 19:11:57

%S 24,36,48,60,64,72,80,84,88,90,96,108,112,120,126,128,132,136,140,144,

%T 150,152,156,160,162,168,176,180,192,196,198,200,204,208,210,216,220,

%U 224,228,234,240,252,256,260,264,270,272,276,280,288,294,300,304,308,312,320

%N Perimeters of nonprimitive Heronian triangles with mutually distinct side lengths.

%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) = 24; there is one nonprimitive Heronian triangle with perimeter 24 whose side lengths are mutually distinct, [6,8,10].

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

%Y Cf. A331366, A334665.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 07 2020