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Search: id:A092817
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| A092817 |
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First 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. |
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+0
5
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| 5, 69, 87, 125, 335, 315, 184, 391, 425, 324, 384, 207, 612, 455, 589, 747, 725, 494, 675, 671, 847, 851, 749, 663, 783, 679, 931, 707, 1029, 736, 575, 1184, 1139, 1088, 1035, 1247, 1127, 720, 763, 896, 999, 1400, 1391, 1445, 901, 1288, 1661, 1395, 1175
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A092818 gives second component, A092819 gives third component.
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EXAMPLE
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The sixth triple is 315, 525, 735, hence a(6) = 315.
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PROGRAM
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(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(a, ", ")))))); }
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CROSSREFS
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Cf. A091509, A092818, A092819.
Sequence in context: A165396 A029812 A093120 this_sequence A157038 A145632 A051538
Adjacent sequences: A092814 A092815 A092816 this_sequence A092818 A092819 A092820
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 06 2004
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