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A332962 Sum of the areas of all Pythagorean triangles with perimeter A010814(n). 1

%I #33 Jun 16 2020 14:39:26

%S 6,24,30,54,60,96,84,270,210,216,240,504,450,384,486,336,1620,630,

%T 1056,840,1368,750,924,1014,960,2772,1320,3150,546,1536,1386,1500,

%U 1734,1560,3360,1944,990,1344,2166,2340,7320,7056,2730,4224,4050,3174,8400,2574,5472,6750

%N Sum of the areas of all Pythagorean triangles with perimeter A010814(n).

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

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

%e a(1) = 6; There is one Pythagorean triangle with perimeter A010814(1) = 12, [3,4,5] with area 3*4/2 = 6.

%e a(2) = 24; There is one Pythagorean triangle with perimeter A010814(2) = 24, [6,8,10] with area 6*8/2 = 24.

%Y Cf. A010814, A334788.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 10 2020

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