A334338 - OEIS

%I #26 Feb 16 2025 08:34:00

%S 12,16,18,30,36,42,44,48,50,54,56,60,64,66,68,70,76,78,80,84,90,96,98,

%T 100,104,108,112,128,130,132,140,144,150,152,154,156,160,162,164,170,

%U 172,174,176,180,182,186,190,192,196,198,200,204,208,210,216,220,222,224,228

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

%H Eric Weisstein's World of Mathematics, <a href="https://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 primitive Heronian triangle with a perimeter of 12 whose shortest side length is squarefree, which is [3,4,5].

%e a(5) = 36; there is one primitive Heronian triangle with a perimeter of 36 whose shortest side length is squarefree, [10,13,13].

%Y Cf. A008683, A330869, A334453, A334560.

%K nonn,changed

%O 1,1

%A _Wesley Ivan Hurt_, May 06 2020