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Perimeters of Pythagorean triangles whose short leg divides its area.
1

%I #12 Feb 01 2021 19:26:23

%S 12,24,30,36,48,56,60,72,80,84,90,96,108,112,120,132,140,144,150,154,

%T 156,160,168,180,182,192,204,208,210,216,224,228,234,240,252,264,270,

%U 276,280,288,300,306,308,312,320,324,330,336,340,348,352,360,364,372,374,380

%N Perimeters of Pythagorean triangles whose short leg divides its area.

%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 Pythagorean triangle with perimeter 12, [3,4,5] whose area is 6 and 3|6.

%e a(2) = 24; There is one Pythagorean triangle with perimeter 24, [6,8,10] whose area is 24 and 6|24.

%Y Cf. A010814, A334761, A334801.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 12 2020