A070202 - OEIS

%I #22 Apr 09 2024 11:38:48

%S 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,

%T 0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,2,0,0,0,0,

%U 0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,1

%N Number of integer triangles with perimeter n, integer inradius and side lengths that are not relatively prime.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Incircle.html">Incircle</a>.

%H Reinhard Zumkeller, <a href="/A070080/a070080.txt">Integer-sided triangles</a>

%e For perimeter 24, only the triangle with a=6, b=8, c=10 has an integer inradius (2), therefore a(24)=1. The next examples are a(32)=1 with a=10, b=10, c=12 and a(36)=1 with a=9, b=12, c=15.

%Y Cf. A070138, A051493, A070109, A070209.

%K nonn

%O 1,60

%A _Reinhard Zumkeller_, May 05 2002

%E Definition corrected by _Georg Fischer_, Apr 04 2024