A092888 Second 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.

34, 52, 60, 63, 80, 70, 52, 92, 51, 52, 126, 148, 155, 156, 76, 94, 220, 250, 110, 174, 240, 200, 187, 182, 191, 192, 190, 266, 278, 328, 320, 322, 203, 98, 250, 395, 243, 242, 160, 300, 308, 432, 160, 390, 345, 338, 349, 410, 420, 266, 157, 153, 395, 121, 490

Offset

1,1

Comments

Suggested by Thomas A. Nagy. - A092887 gives first component, A092889 gives third component, A092890 gives fourth component.

Links

Table of n, a(n) for n=1..55.

Example

The fifth quadruple is 48, 80, 96, 160, hence a(5) = 80.

Prog

(PARI) {m=1140; 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(b, ", "))))))))}

Crossrefs

Cf. A092887, A092889, A092890, A092891.

Sequence in context: A051991 A214473 A332530 * A217768 A217704 A274380

Adjacent sequences: A092885 A092886 A092887 * A092889 A092890 A092891

Keyword

nonn

Author

Klaus Brockhaus, Mar 12 2004

Status

approved