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A331264 Largest possible side length, c, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.

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%I A331264 #16 Feb 16 2025 08:33:59
%S A331264 5,6,8,13,15,17,17,20,20,21,24,26,25,29,30,30,26,29,35,37,37,39,41,41,
%T A331264 44,48,44,51,53,52,53,51,56,53,61,50,65,65,68,70,74,73,75,75,75,80,73,
%U A331264 77,75,68,85,87,89,89,87,87,95,97,97,97,101,101,104,97,109,87,111
%N A331264 Largest possible side length, c, of a primitive Heronian triangle with perimeter A096468(n), such that a <= b <= c.
%H A331264 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>
%H A331264 Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>
%H A331264 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%e A331264 a(1) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its longest side length is 5.
%e A331264 a(6) = 17; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with longest side lengths 17 and 13. The largest of these is 17.
%Y A331264 Cf. A096468.
%Y A331264 Cf. A331210, A331263.
%K A331264 nonn
%O A331264 1,1
%A A331264 _Wesley Ivan Hurt_, May 03 2020