A092817 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.

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

Offset

1,1

Comments

A092818 gives second component, A092819 gives third component.

Links

Table of n, a(n) for n=1..49.

Example

The sixth triple is 315, 525, 735, hence a(6) = 315.

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

Crossrefs

Cf. A091509, A092818, A092819.

Sequence in context: A193439 A355086 A337951 * A333035 A333459 A362101

Adjacent sequences: A092814 A092815 A092816 * A092818 A092819 A092820

Keyword

nonn

Author

Klaus Brockhaus, Mar 06 2004

Status

approved