A092819 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.

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

Offset

1,1

Comments

A092817 gives first component, A092818 gives second component.

Links

Table of n, a(n) for n=1..44.

Example

The fourth triple is 125, 475, 575, hence a(4) = 575.

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

Crossrefs

Cf. A091509, A092817, A092818.

Sequence in context: A039989 A039990 A269002 * A336523 A209233 A062095

Adjacent sequences: A092816 A092817 A092818 * A092820 A092821 A092822

Keyword

nonn

Author

Klaus Brockhaus, Mar 06 2004

Status

approved