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A331199 Largest possible side length, c, of a Heronian triangle with perimeter A051518(n), such that a <= b <= c. 2

%I #9 Jun 16 2020 13:53:37

%S 5,6,8,10,13,15,17,17,20,20,21,24,26,25,29,30,30,26,29,35,37,37,39,41,

%T 40,41,45,48,48,51,53,52,53,51,58,60,61,50,65,65,68,70,74,74,75,75,78,

%U 80,73,82,75,68,85,87,89,89,87,87,95,97,97,97,101,102,104,106

%N Largest possible side length, c, of a Heronian triangle with perimeter A051518(n), such that a <= b <= c.

%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) = 5; there is one Heronian triangle with perimeter A051518(1) = 12, which is [3,4,5] and its largest side length is 5.

%e a(6) = 15; there are two Heronian triangles with perimeter A051518(6) = 32, [4,13,15] and [10,10,12], whose largest side lengths are 15 and 12. The largest of these is 15.

%Y Cf. A051516, A051518, A070138, A096468, A298079, A298614, A305717.

%Y Cf. A330912, A330915, A330916, A330921.

%Y Cf. A330917, A330923.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 03 2020

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