A092890 Fourth 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.

76, 124, 160, 171, 160, 196, 196, 227, 294, 300, 270, 358, 231, 391, 430, 430, 352, 340, 368, 402, 474, 632, 459, 398, 446, 600, 646, 497, 587, 574, 524, 706, 551, 728, 793, 567, 702, 770, 916, 895, 875, 600, 940, 910, 750, 767, 1030, 842, 1020, 1010, 893, 986

Offset

1,1

Comments

Suggested by Thomas A. Nagy. - A092887 gives first component, A092888 gives second component, A092889 gives third component.

Links

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

Example

The third quadruple is 12, 60, 128, 160, hence a(3) = 160.

Prog

(PARI) {m=1105; 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(d, ", "))))))))}

Crossrefs

Cf. A092887, A092888, A092889, A092891.

Sequence in context: A363352 A256084 A039486 * A261705 A248532 A186896

Adjacent sequences: A092887 A092888 A092889 * A092891 A092892 A092893

Keyword

nonn

Author

Klaus Brockhaus, Mar 12 2004

Status

approved