A334757 - OEIS

%I #8 Jun 16 2020 14:07:37

%S 5,10,13,15,17,20,25,51,29,30,34,72,80,40,45,50,153,53,116,58,125,65,

%T 65,65,68,219,73,235,85,80,85,85,85,89,178,90,101,100,95,97,419,322,

%U 109,232,240,115,360,125,250,255,145,130,275,136,135,280,438,149,145,145,146,623

%N Sum of the lengths of the hypotenuses 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) = 4; There is one integer-sided right triangle with perimeter A010814(1) = 12, [3,4,5] with hypotenuse 5.

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

%Y Cf. A005044, A010814, A334607, A334678, A334717.

%Y Cf. A334753 (sum of short legs), A334755 (sum of long legs).

%K nonn

%O 1,1

%A _Wesley Ivan Hurt_, May 10 2020