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Perimeters of Heronian triangles whose smallest side length is squarefree.
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%I #10 Feb 01 2021 18:41:40

%S 12,16,18,24,30,32,36,42,44,48,50,54,56,60,64,66,68,70,76,78,80,84,88,

%T 90,96,98,100,104,108,112,120,126,128,130,132,136,140,144,150,152,154,

%U 156,160,162,164,168,170,172,174,176,180,182,186,190,192,196,198,200,204

%N Perimeters of Heronian triangles whose smallest side length is squarefree.

%H Giovanni Resta, <a href="/A335222/b335222.txt">Table of n, a(n) for n = 1..10000</a>

%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) = 12; there is one Heronian triangle with perimeter 12 whose smallest side length is squarefree, [3,4,5].

%Y Cf. A008683, A330869, A335223, A335224.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 27 2020