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A092888
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Second 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.
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4
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34, 52, 60, 63, 80, 70, 52, 92, 51, 52, 126, 148, 155, 156, 76, 94, 220, 250, 110, 174, 240, 200, 187, 182, 191, 192, 190, 266, 278, 328, 320, 322, 203, 98, 250, 395, 243, 242, 160, 300, 308, 432, 160, 390, 345, 338, 349, 410, 420, 266, 157, 153, 395, 121, 490
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Suggested by Thomas A. Nagy. - A092887 gives first component, A092889 gives third component, A092890 gives fourth component.
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EXAMPLE
| The fifth quadruple is 48, 80, 96, 160, hence a(5) = 80.
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PROG
| (PARI) {m=1140; 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(b, ", "))))))))}
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CROSSREFS
| Cf. A092887, A092889, A092890, A092891.
Sequence in context: A045256 A107355 A051991 * A051969 A067243 A171668
Adjacent sequences: A092885 A092886 A092887 * A092889 A092890 A092891
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KEYWORD
| nonn
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 12 2004
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