A333840 - OEIS

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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

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

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