A331263 - OEIS

%I #15 Jun 16 2020 13:54:42

%S 4,5,5,12,13,13,15,15,13,17,17,25,24,25,29,25,25,25,29,20,26,30,35,40,

%T 37,40,41,40,51,33,41,38,39,45,53,41,60,51,65,65,61,60,56,68,53,73,50,

%U 51,61,61,60,74,50,84,68,65,82,89,90,73,87,80,89,85,100,74,91,82

%N Largest possible side length, b, of a primitive Heronian triangle with perimeter A096468(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>

%F a(1) = 4; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and its middle side length is 4.

%F a(6) = 13; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13] with middle side lengths 10 and 13. The largest of these is 13.

%Y Cf. A096468.

%Y Cf. A331210, A331264.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 03 2020