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Sum of the odd side lengths of all primitive Heronian triangles with perimeter A096468(n).
1

%I #6 Jun 16 2020 14:47:37

%S 8,10,10,18,28,52,32,50,24,38,60,104,32,54,118,36,42,92,64,56,52,114,

%T 308,154,52,362,196,128,360,58,300,76,64,98,336,80,542,116,286,398,

%U 472,92,296,296,236,790,114,128,136,104,114,584,130,352,242,274,972,1074,446,572,360

%N Sum of the odd side lengths of all primitive Heronian triangles with perimeter A096468(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 primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and the sum of its odd side lengths is 3 + 5 = 8.

%e a(6) = 52; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. The sum of the odd side lengths is 9 + 17 + 13 + 13 = 52.

%Y Cf. A096468, A334934.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 16 2020