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Perimeters of Heronian triangles with exactly one square side length.
6

%I #43 Feb 01 2021 18:40:39

%S 12,32,36,48,50,54,56,60,66,68,70,80,90,96,98,104,108,110,114,120,128,

%T 140,144,150,162,176,192,198,200,204,210,216,220,224,230,240,242,252,

%U 260,264,270,272,280,288,294,300,306,320,324,328,330,336,338,348,350,360,364,368

%N Perimeters of Heronian triangles with exactly one square side length.

%H Giovanni Resta, <a href="/A334606/b334606.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, which is [3,4,5] and it has exactly one square side length, 4.

%e a(2) = 32; there is one Heronian triangle with perimeter 32, [4,13,15] with exactly one square side length, 4.

%Y Cf. A010052, A334825, A335100.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 23 2020