%I #3 Mar 30 2012 17:27:41

%S 1,3,3,25,5,105,8,23,25,108,96,69,204,91,19,83,145,26,225,61,77,37,

%T 107,51,9,97,133,101,49,92,23,296,67,64,345,29,161,240,109,128,27,280,

%U 107,289,53,56,151,465,235,315,91,71,43,99,72,200,26,130,49,438,57,31,227

%N Greatest common divisor of triples a,b,c such that a < b < c, (a*b) mod (a+b) = c, (b*c) mod (b+c) = a, (c*a) mod (c+a) = b. The triples are ordered according to sum of first and second component.

%C First, second and third component of the triples are resp. in A092817, A092818, A092819.

%e The seventh triple is 184, 704, 776, hence a(7) = gcd(8*23,8*8*11,8*97) = 8.

%o (PARI) {m=4600;for(n=3,m, for(a=1,(n-1)\2,b=n-a;c=a*b%(a+b);if(b<c,if((b*c)%(b+c)==a, if((a*c)%(a+c)==b,print1(gcd(gcd(a,b),c),","))))));}

%Y Cf. A091509, A092817, A092818, A092819.

%K nonn

%O 1,2

%A _Klaus Brockhaus_, Mar 07 2004