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Smallest side lengths of equable Heronian triangles (with multiplicity).
2

%I #6 Jun 16 2020 14:12:50

%S 5,6,6,7,9

%N Smallest side lengths of equable Heronian triangles (with multiplicity).

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

%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), this sequence (smallest side lengths), A335016 (largest side lengths).

%K nonn,fini,full

%O 1,1

%A _Wesley Ivan Hurt_, May 19 2020