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Largest possible short leg length of a Pythagorean triangle with perimeter A010814(n).
5

%I #8 Jun 16 2020 13:04:31

%S 3,6,5,9,8,12,7,15,20,18,16,21,15,24,27,14,30,28,33,40,36,25,33,39,32,

%T 42,48,45,13,48,36,40,51,39,60,54,20,28,57,65,60,63,60,66,45,69,80,44,

%U 72,75,17,66,78,64,81,88,84,51,87,100,96,90,26,93,85,84,19,96,65,49,99

%N Largest possible short leg length of a Pythagorean triangle 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) = 3; There is one integer-sided right triangle with perimeter A010814(1) = 12, [3,4,5] with short leg length 3.

%e a(2) = 6; There is one integer-sided right triangle with perimeter A010814(2) = 24, [6,8,10] with short leg length 6.

%Y Cf. A005044, A010814, A334607, A334678.

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 08 2020