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Search: id:A092818
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| A092818 |
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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. |
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+0
5
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| 7, 99, 111, 475, 365, 525, 704, 575, 625, 756, 864, 1173, 816, 1001, 931, 913, 1015, 1274, 1125, 1159, 1001, 1073, 1391, 1479, 1359, 1649, 1463, 1717, 1421, 1748, 2047, 1480, 1541, 1664, 1725, 1595, 1771, 2400, 2507, 2432, 2349, 1960, 2033, 2023, 2597
(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, A092819 gives third component.
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EXAMPLE
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The fifth triple is 335, 365, 475, hence a(5) = 365.
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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(b, ", ")))))); }
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CROSSREFS
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Cf. A091509, A092817, A092819.
Sequence in context: A156266 A051188 A113134 this_sequence A041087 A041084 A115066
Adjacent sequences: A092815 A092816 A092817 this_sequence A092819 A092820 A092821
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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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