A120062

[David Wilson]

The conjecture that the longest side of an integer triangle with integer 
inradius n is n^4+3n^2+1 is true.  The triangle has sides (n^2+2, 
n^4+2n^2+1, n^4+3n^2+1).  This was proved by the Germans posting the problem 
as well as by Joseph Myers in a seqfan message.  Therefore

%C A120062 It is conjectured that the longest possible side c of a triangle 
with integer sides
               and inradius n is given by A057721(n)=n^4+3*n^2+1.

should be replaced by

%C A120062 Among triangles with integer sides and inradius n, the triangle 
with longest side c is given by (a,b,c) = (n^2+2,n^4+2n^2+1,n^4+3n^2+1) = 
(A059100(n), A082044(n), A057721(n)).

Also, I am submitting b120062.txt including elements 1-1000.