%I A092864
%S A092864 1,3,3,25,5,105,8,23,25,108,96,69,204,91,19,83,145,26,225,61,77,37,107,
%T A092864 51,9,97,133,101,49,92,23,296,67,64,345,29,161,240,109,128,27,280,107,
%U A092864 289,53,56,151,465,235,315,91,71,43,99,72,200,26,130,49,438,57,31,227
%N A092864 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 A092864 First, second and third component of the triples are resp. in A092817, 
               A092818, A092819.
%e A092864 The seventh triple is 184, 704, 776, hence a(7) = gcd(8*23,8*8*11,8*97) 
               = 8.
%o A092864 (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 A092864 Cf. A091509, A092817, A092818, A092819.
%Y A092864 Sequence in context: A159910 A130723 A036114 this_sequence A151438 A157036 
               A080302
%Y A092864 Adjacent sequences: A092861 A092862 A092863 this_sequence A092865 A092866 
               A092867
%K A092864 nonn
%O A092864 1,2
%A A092864 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 07 2004