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A335016 Largest side lengths of equable Heronian triangles. 2

%I #8 Sep 05 2021 19:20:32

%S 10,13,17,20,29

%N Largest side lengths of equable Heronian triangles.

%C Equable Heronian triangles are triangles with integer sides, integer area and whose area is equal to their perimeter. There are exactly five, [6,8,10], [5,12,13], [9,10,17], [7,15,20], [6,25,29].

%H Eric Weisstein's World of Mathematics, <a href="http://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>

%Y Cf. A098030 (areas/perimeters), A335013 (middle side lengths), A335015 (smallest side lengths), this sequence (largest side lengths).

%K nonn,fini,full

%O 1,1

%A _Wesley Ivan Hurt_, May 19 2020

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)