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A330869 Perimeters of Heronian triangles with squarefree side lengths. 12

%I #47 Feb 01 2021 18:40:20

%S 16,36,42,48,64,78,80,84,100,108,112,132,140,144,150,154,176,182,186,

%T 190,192,196,198,208,210,222,228,240,242,250,252,256,266,270,272,276,

%U 286,292,294,304,320,322,324,330,336,338,350,356,366,368,370,372,378,396,400

%N Perimeters of Heronian triangles with squarefree side lengths.

%C Not the same as A334538 (this sequence includes 108, 252, 396, ..., etc.).

%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) = 16; there is one Heronian triangle with perimeter 16 whose side lengths are squarefree, [5,5,6].

%e a(2) = 36; there is one Heronian triangle with perimeter 36 whose side lengths are squarefree, [10,13,13].

%Y Cf. A333840, A334538.

%Y Cf. A008683, A335223, A335224.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 05 2020

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Last modified June 11 08:17 EDT 2024. Contains 373292 sequences. (Running on oeis4.)