login
Perimeters of Heronian triangles whose smallest and largest side lengths are squarefree.
2

%I #8 Feb 01 2021 19:15:01

%S 12,16,24,30,36,42,48,54,60,64,66,68,76,78,80,84,90,98,100,104,108,

%T 112,128,132,140,144,150,152,154,156,160,164,168,174,176,180,182,186,

%U 190,192,196,198,200,204,208,210,220,222,228,230,234,236,238,240,242,250,252

%N Perimeters of Heronian triangles whose smallest and largest side lengths are squarefree.

%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>

%Y Cf. A008683 (Möbius function), A333840 (Perimeters of Heronian triangles with squarefree area).

%Y Perimeters of squarefree Heronian triangles: A330869 (all sides), A335222 (shortest side), A335223 (middle side), A335224 (largest side), A335243 (smallest and middle), this sequence (smallest and largest), A335246 (middle and largest).

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 28 2020