A334560 Perimeters of primitive Heronian triangles whose longest side length is squarefree.

12, 16, 30, 32, 36, 40, 42, 48, 50, 54, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 90, 98, 100, 104, 108, 112, 114, 126, 128, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204, 208, 210, 216, 220, 222, 224

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) = 12; there is one primitive Heronian triangle with a perimeter of 12 whose longest side length is squarefree, which is [3,4,5].
a(4) = 32; there is one primitive Heronian triangle with a perimeter of 36 whose longest side length is squarefree, [4,13,15].

Crossrefs

Cf. A008683, A330869, A334338, A334453.

Sequence in context: A182074 A192609 A157678 * A357631 A109240 A020740

Adjacent sequences: A334557 A334558 A334559 * A334561 A334562 A334563

Keyword

nonn

Author

Wesley Ivan Hurt, May 06 2020

Status

approved