A333840 Perimeters of Heronian triangles with squarefree area.

12, 30, 42, 44, 70, 76, 84, 100, 110, 132, 140, 150, 154, 156, 172, 182, 186, 196, 204, 220, 228, 230, 236, 238, 242, 252, 260, 268, 294, 300, 308, 318, 322, 330, 340, 350, 364, 372, 374, 380, 390, 396, 420, 428, 444, 462, 468, 470, 476, 484, 490, 492, 494, 506, 510

Offset

1,1

Links

Table of n, a(n) for n=1..55.

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

Example

a(1) = 12; there is one Heronian triangle with perimeter 12 whose area is squarefree, which is [3,4,5] with area 6.
a(2) = 30; there is one Heronian triangle with a perimeter of 30 whose area is squarefree, which is [5,12,13] with area 30.

Crossrefs

Cf. A330869, A334538.

Sequence in context: A326019 A334804 A328411 * A145470 A108278 A364975

Adjacent sequences: A333837 A333838 A333839 * A333841 A333842 A333843

Keyword

nonn

Author

Wesley Ivan Hurt, May 05 2020

Status

approved