Search: id:A092890
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%I A092890
%S A092890 76,124,160,171,160,196,196,227,294,300,270,358,231,391,430,430,352,340,
%T A092890 368,402,474,632,459,398,446,600,646,497,587,574,524,706,551,728,793,
%U A092890 567,702,770,916,895,875,600,940,910,750,767,1030,842,1020,1010,893,986
%N A092890 Fourth component of quadruples a,b,c,d such that a < b < c < d, (a*b*c) 
               mod (a+b+c) = d, (a*b*d) mod (a+b+d) = c, (a*c*d) mod (a+c+d) = b, 
               (b*c*d) mod (b+c+d) = a. The quadruples are ordered according to 
               sum of first three components, secondary by first component, thirdly 
               by second component.
%C A092890 Suggested by Thomas A. Nagy. - A092887 gives first component, A092888 
               gives second component, A092889 gives third component.
%e A092890 The third quadruple is 12, 60, 128, 160, hence a(3) = 160.
%o A092890 (PARI) {m=1105;for(n=6,m, for(a=1,(n-3)\3, for(b=a+1,(n-a-1)\2,c=n-a-b;
               d=a*b*c%(a+b+c); if(c<d,if(a*b*d%(a+b+d)==c,if(a*c*d%(a+c+d)==b,if(b*c*d%(b+c+d)==a,
               print1(d,","))))))))}
%Y A092890 Cf. A092887, A092888, A092889, A092891.
%Y A092890 Sequence in context: A114914 A026046 A039486 this_sequence A004924 A004944 
               A063359
%Y A092890 Adjacent sequences: A092887 A092888 A092889 this_sequence A092891 A092892 
               A092893
%K A092890 nonn
%O A092890 1,1
%A A092890 Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 12 2004

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