A092889 Third component of quadruples a,b,c,d such that a < b < c < d, (a*b*c) mod (a+b+c) = d, (a*b*d) mod (a+b+d) = c, (a*c*d) mod (a+c+d) = b, (b*c*d) mod (b+c+d) = a. The quadruples are ordered according to sum of first three components, secondary by first component, thirdly by second component.

40, 97, 128, 88, 96, 142, 151, 164, 238, 237, 189, 184, 174, 212, 304, 295, 268, 256, 350, 279, 350, 320, 374, 308, 443, 328, 475, 329, 290, 394, 416, 367, 470, 686, 517, 438, 585, 605, 640, 620, 572, 498, 736, 455, 435, 650, 502, 635, 625, 605, 846, 891

Offset

1,1

Comments

Suggested by Thomas A. Nagy. - A092887 gives first component, A092888 gives second component, A092890 gives fourth component.

Links

Table of n, a(n) for n=1..52.

Example

The fourth quadruple is 56, 63, 88, 171, hence a(4) = 88.

Prog

(PARI) {m=1110; for(n=6, m, for(a=1, (n-3)\3, for(b=a+1, (n-a-1)\2, c=n-a-b; d=a*b*c%(a+b+c); if(c<d, if(a*b*d%(a+b+d)==c, if(a*c*d%(a+c+d)==b, if(b*c*d%(b+c+d)==a, print1(c, ", "))))))))}

Crossrefs

Cf. A092887, A092888, A092890, A092891.

Sequence in context: A063310 A211493 A185791 * A235280 A235271 A033832

Adjacent sequences: A092886 A092887 A092888 * A092890 A092891 A092892

Keyword

nonn

Author

Klaus Brockhaus, Mar 12 2004

Status

approved