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Sum of the middle side lengths of all Heronian triangles with even sides and perimeter A334936(n).
2

%I #6 Jun 16 2020 14:08:38

%S 8,10,10,16,24,46,90,30,58,26,96,60,154,48,138,234,50,50,92,238,40,52,

%T 220,492,52,334,344,410,338,158,936,66,458,76,444,334,858,82,858,202,

%U 540,1120,832,200,306,552,780,1434,100,1230,122,122,120,808,1268,428,260,260,2066,1950,764,1342

%N Sum of the middle side lengths of all Heronian triangles with even sides and perimeter A334936(n).

%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>

%e a(1) = 8; there is one Heronian triangle with even side lengths and perimeter A334936(1) = 24, [6,8,10] whose middle side length is 8.

%e a(2) = 10; there is one Heronian triangle with even side lengths and perimeter A334936(2) = 32, [10,10,12] whose middle side length is 10.

%Y Cf. A334936, A334937, A334939.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 16 2020