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A331366 Number of Heronian triangles with mutually distinct side lengths and perimeter A334665(n).

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%I A331366 #27 Feb 16 2025 08:33:59
%S A331366 1,1,1,1,2,1,2,1,2,3,1,3,2,1,1,2,3,1,1,3,8,1,4,4,3,1,2,10,1,5,1,5,3,6,
%T A331366 1,9,2,5,6,6,2,3,5,6,8,1,10,1,1,1,6,8,3,2,2,12,8,4,6,5,4,11,14,5,1,11,
%U A331366 7,3,1,6,1,2,14,11,1,9,14,11,1,4,11,3,1,11,4,2,7,4,12
%N A331366 Number of Heronian triangles with mutually distinct side lengths and perimeter A334665(n).
%H A331366 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>
%H A331366 Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a>
%H A331366 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%e A331366 a(1) = 1; there is one Heronian triangle with perimeter A334665(1) = 12 such that all side lengths are mutually distinct, [3,4,5].
%e A331366 a(4) = 1; there is one Heronian triangle with perimeter A334665(4) = 32 such that all side lengths are mutually distinct, [4,13,15].
%Y A331366 Cf. A051516, A051518, A334665.
%K A331366 nonn
%O A331366 1,5
%A A331366 _Wesley Ivan Hurt_, May 07 2020