A331368 - OEIS

%I #23 Jun 18 2020 14:03:13

%S 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 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 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 Number of primitive Heronian triangles with mutually distinct side lengths and perimeter A331367(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) = 1; there is one primitive Heronian triangle with perimeter A331367(1) = 12 whose side lengths are mutually distinct, [3,4,5].

%e a(2) = 1; there is one primitive Heronian triangle with perimeter A331367(2) = 30 whose side lengths are mutually distinct, [5,12,13].

%Y Cf. A096468, A331367.

%K nonn

%O 1,6

%A _Wesley Ivan Hurt_, May 07 2020