A334665 - OEIS

%I #12 Feb 16 2025 08:34:00

%S 12,24,30,32,36,40,42,44,48,54,56,60,64,66,68,70,72,76,78,80,84,88,90,

%T 96,98,100,104,108,110,112,114,120,126,128,130,132,136,140,144,150,

%U 152,154,156,160,162,164,168,170,172,174,176,180,182,186,190,192,196,198,200,204

%N Perimeters of Heronian triangles with mutually distinct side lengths.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>

%e a(1) = 12; there is one Heronian triangle with perimeter 12 such that all side lengths are mutually distinct, [3,4,5].

%e a(4) = 32; there is one Heronian triangle with perimeter 32 such that all side lengths are mutually distinct, [4,13,15].

%Y Cf. A051516, A051518.

%K nonn,changed

%O 1,1

%A _Wesley Ivan Hurt_, May 07 2020