A334453 - OEIS

%I #13 Feb 16 2025 08:34:00

%S 16,18,32,36,40,42,44,48,50,54,64,70,72,78,80,84,90,96,98,100,104,108,

%T 110,112,114,120,128,130,132,136,140,144,150,154,160,162,168,170,172,

%U 176,182,186,190,192,196,198,200,204,208,210,216,222,224,228,230,232,234,238

%N Perimeters of primitive Heronian triangles whose middle 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) = 16; there is one primitive Heronian triangle with a perimeter of 16 whose middle side length is squarefree, which is [5,5,6].

%e a(4) = 36; there are two primitive Heronian triangles with a perimeter of 36 whose middle side lengths are squarefree, [10,13,13] and [9,10,17].

%Y Cf. A008683, A330869, A334338, A334560.

%K nonn,changed

%O 1,1

%A _Wesley Ivan Hurt_, May 06 2020