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A092818 Second component 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. 4

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

%S 7,99,111,475,365,525,704,575,625,756,864,1173,816,1001,931,913,1015,

%T 1274,1125,1159,1001,1073,1391,1479,1359,1649,1463,1717,1421,1748,

%U 2047,1480,1541,1664,1725,1595,1771,2400,2507,2432,2349,1960,2033,2023,2597

%N Second component 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 A092817 gives first component, A092819 gives third component.

%e The fifth triple is 335, 365, 475, hence a(5) = 365.

%o (PARI) {m=4000;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(b,","))))));}

%Y Cf. A091509, A092817, A092819.

%K nonn

%O 1,1

%A _Klaus Brockhaus_, Mar 06 2004

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