A334338 Perimeters of primitive Heronian triangles whose shortest side length is squarefree.

12, 16, 18, 30, 36, 42, 44, 48, 50, 54, 56, 60, 64, 66, 68, 70, 76, 78, 80, 84, 90, 96, 98, 100, 104, 108, 112, 128, 130, 132, 140, 144, 150, 152, 154, 156, 160, 162, 164, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204, 208, 210, 216, 220, 222, 224, 228

Offset

1,1

Links

Table of n, a(n) for n=1..59.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

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

Crossrefs

Cf. A008683, A330869, A334453, A334560.

Sequence in context: A096468 A334983 A334984 * A334584 A054281 A171955

Adjacent sequences: A334335 A334336 A334337 * A334339 A334340 A334341

Keyword

nonn

Author

Wesley Ivan Hurt, May 06 2020

Status

approved