A335101 - OEIS

A335101

Perimeters of Heronian triangles whose middle side length is a square.

12, 48, 54, 60, 64, 66, 68, 70, 80, 90, 98, 108, 192, 216, 220, 240, 242, 252, 256, 264, 270, 272, 280, 288, 294, 300, 306, 320, 328, 330, 336, 350, 360, 364, 380, 392, 396, 400, 410, 416, 432, 442, 450, 468, 486, 488, 490, 494, 500, 512, 522, 528, 530, 540, 546, 572, 576

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

OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Heronian Triangle

Wikipedia, Heronian triangle

Wikipedia, Integer Triangle

EXAMPLE

a(1) = 12; there is one Heronian triangle with a perimeter of 12 whose middle side length is a square, which is [3,4,5].

CROSSREFS

Cf. A010052, A334606, A334825, A335100, A335103, A335104.