A331367 - OEIS

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A331367

Perimeters of primitive Heronian triangles with mutually distinct side lengths.

12, 30, 32, 36, 40, 42, 44, 48, 54, 56, 60, 64, 66, 68, 70, 72, 76, 78, 80, 84, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204, 208

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

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..59.

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 perimeter 12 such that all side lengths are mutually distinct, [3,4,5].

a(2) = 30; there is one primitive Heronian triangle with perimeter 30 such that all side lengths are mutually distinct, [5,12,13].

CROSSREFS