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A333840 Perimeters of Heronian triangles with squarefree area. 5
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

Cf. A330869, A334538.

Sequence in context: A326019 A334804 A328411 * A145470 A108278 A298077

Adjacent sequences:  A333837 A333838 A333839 * A333841 A333842 A333843

KEYWORD

nonn

AUTHOR

Wesley Ivan Hurt, May 05 2020

STATUS

approved

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Last modified June 20 01:09 EDT 2021. Contains 345154 sequences. (Running on oeis4.)