A334453 - OEIS

A334453

Perimeters of primitive Heronian triangles whose middle side length is squarefree.

16, 18, 32, 36, 40, 42, 44, 48, 50, 54, 64, 70, 72, 78, 80, 84, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 128, 130, 132, 136, 140, 144, 150, 154, 160, 162, 168, 170, 172, 176, 182, 186, 190, 192, 196, 198, 200, 204, 208, 210, 216, 222, 224, 228, 230, 232, 234, 238

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..58.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

EXAMPLE

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].

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].

CROSSREFS