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A334760 Perimeters of Pythagorean triangles whose shortest side length divides its perimeter. 0

%I #14 Jun 19 2022 23:23:27

%S 12,24,30,36,40,48,56,60,72,80,84,90,96,108,112,120,132,144,150,156,

%T 160,168,180,182,192,200,204,210,216,220,224,228,240,252,264,270,276,

%U 280,288,300,306,312,320,324,330,336,348,360,364,372,380,384,390,392,396,400

%N Perimeters of Pythagorean triangles whose shortest side length divides its perimeter.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Pythagorean_triple">Pythagorean Triple</a>.

%H <a href="/index/Ps#PyTrip">Index entries related to Pythagorean Triples</a>.

%e a(1) = 12; There is one integer-sided right triangle with perimeter 12, [3,4,5]. Since 3|12, 12 is in the sequence.

%e a(2) = 24; There is one integer-sided right triangle with perimeter 24, [6,8,10]. Since 6|24, 24 is in the sequence.

%Y Cf. A005044, A010814.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 10 2020

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)