A092818 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.

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

Offset

1,1

Comments

A092817 gives first component, A092819 gives third component.

Links

Table of n, a(n) for n=1..45.

Example

The fifth triple is 335, 365, 475, hence a(5) = 365.

Prog

(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, ", ")))))); }

Crossrefs

Cf. A091509, A092817, A092819.

Sequence in context: A367138 A113134 A334722 * A238472 A041087 A041084

Adjacent sequences: A092815 A092816 A092817 * A092819 A092820 A092821

Keyword

nonn

Author

Klaus Brockhaus, Mar 06 2004

Status

approved