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%I #7 Jun 18 2020 14:18:02
%S 2,4,2,4,2,12,6,14,4,6,18,18,6,2,22,6,16,26,2,2,4,8,38,36,8,88,46,26,
%T 20,6,44,12,8,20,72,30,64,6,28,44,66,6,50,62,24,160,18,14,20,36,4,72,
%U 2,34,28,70,142,164,48,100,10,36,82,94,86,48,124,122,46,24,108,18,34
%N Sum of the values of the "shortest + middle - longest" side lengths of all primitive Heronian triangles with perimeter A096468(n).
%C a(n) is the excess length on the shortest and/or middle sides of all the primitive Heronian triangles with perimeter A096468(n) to avoid becoming degenerate triangles whose longest side is equal to the longest side of each primitive Heronian triangle.
%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) = 2; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and 3 + 4 - 5 = 2.
%e a(6) = 12; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. Then (9 + 10 - 17) + (10 + 13 - 13) = 2 + 10 = 12.
%Y Cf. A096468.
%K nonn
%O 1,1
%A _Wesley Ivan Hurt_, May 17 2020
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