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A334934 Largest possible odd side length of a primitive Heronian triangle with perimeter A096468(n). 1

%I #5 Jun 16 2020 14:48:18

%S 5,5,5,13,15,17,17,15,13,21,17,25,25,29,29,25,25,29,35,37,37,39,41,41,

%T 37,45,41,51,53,33,53,51,39,53,61,41,65,65,65,65,73,73,75,75,75,73,73,

%U 77,75,61,85,87,89,89,87,87,95,97,97,97,101,101,101,97,109,87,111,113

%N Largest possible odd side length of a primitive Heronian triangle 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) = 5; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and the largest odd side lengths is 5.

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

%Y Cf. A096468, A334928.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 16 2020

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Last modified August 27 04:28 EDT 2024. Contains 375462 sequences. (Running on oeis4.)