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Search: id:A092819
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| A092819 |
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Third 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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| 11, 111, 153, 575, 475, 735, 776, 713, 1025, 864, 1056, 1311, 1020, 1183, 1159, 1411, 1595, 1716, 1575, 1769, 1463, 1147, 1819, 1683, 1665, 2231, 2261, 1919, 2009, 2300, 2369, 2072, 2479, 2368, 2415, 2407, 2093, 2640, 3161, 2560, 3051, 2240, 3103, 3179
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A092817 gives first component, A092818 gives second component.
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EXAMPLE
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The fourth triple is 125, 475, 575, hence a(4) = 575.
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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(c, ", ")))))); }
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CROSSREFS
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Cf. A091509, A092817, A092818.
Sequence in context: A083278 A039987 A039989 this_sequence A062095 A055657 A049121
Adjacent sequences: A092816 A092817 A092818 this_sequence A092820 A092821 A092822
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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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