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A331368 Number of primitive Heronian triangles with mutually distinct side lengths and perimeter A331367(n).

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%I A331368 #24 Feb 16 2025 08:33:59
%S A331368 1,1,1,1,1,2,1,1,3,1,1,1,1,1,2,1,1,1,2,5,3,1,3,1,2,5,1,4,1,1,1,4,1,6,
%T A331368 1,3,2,5,1,3,3,2,5,1,1,1,1,1,5,1,3,2,2,7,5,3,4,3,2,6,3,3,1,5,4,3,1,5,
%U A331368 1,2,6,11,1,9,4,5,1,3,2,3,1,4,2,1,4,4,2,1,13,2,8,2,7
%N A331368 Number of primitive Heronian triangles with mutually distinct side lengths and perimeter A331367(n).
%H A331368 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>
%H A331368 Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>
%H A331368 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%e A331368 a(1) = 1; there is one primitive Heronian triangle with perimeter A331367(1) = 12 whose side lengths are mutually distinct, [3,4,5].
%e A331368 a(2) = 1; there is one primitive Heronian triangle with perimeter A331367(2) = 30 whose side lengths are mutually distinct, [5,12,13].
%Y A331368 Cf. A096468, A331367.
%K A331368 nonn
%O A331368 1,6
%A A331368 _Wesley Ivan Hurt_, May 07 2020