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Largest possible even side length of a primitive Heronian triangle with perimeter A096468(n).
1

%I #6 Feb 16 2025 08:34:00

%S 4,6,8,12,4,10,8,20,20,10,24,26,24,6,30,30,26,28,8,20,26,30,34,40,44,

%T 48,44,40,52,52,50,38,56,28,52,50,60,20,68,70,74,60,66,68,52,80,50,40,

%U 34,68,60,82,50,84,68,68,82,92,90,72,100,80,104,92,100,74,96,106,100,104

%N Largest possible even side length of a primitive Heronian triangle with perimeter A096468(n).

%H Eric Weisstein's World of Mathematics, <a href="https://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) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its largest even side length is 4.

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

%Y Cf. A096468, A334920.

%K nonn,changed

%O 1,1

%A _Wesley Ivan Hurt_, May 16 2020