login
Number of Pythagorean triangles with perimeter A010814(n).
10

%I #22 Nov 08 2025 21:30:44

%S 1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,3,1,2,1,2,1,1,1,1,3,1,3,1,1,1,1,1,1,

%T 2,1,1,1,1,1,4,3,1,2,2,1,3,1,2,2,1,1,2,1,1,2,3,1,1,1,1,4,1,1,1,1,1,1,

%U 2,1,3,1,2,1,1,5,2,2,1,1,1,2,2,2,2,1,4,1,1,1

%N Number of Pythagorean triangles with perimeter A010814(n).

%H Daniel Mondot, <a href="/A334607/b334607.txt">Table of n, a(n) for n = 1..10000</a>

%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) = 1; There is one integer-sided right triangle with perimeter A010814(1) = 12, [3,4,5].

%e a(2) = 1; There is one integer-sided right triangle with perimeter A010814(2) = 24, [6,8,10].

%Y Cf. A005044, A010814.

%K nonn

%O 1,8

%A _Wesley Ivan Hurt_, May 08 2020