A092864 - OEIS

A092864

Greatest common divisor 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.

1, 3, 3, 25, 5, 105, 8, 23, 25, 108, 96, 69, 204, 91, 19, 83, 145, 26, 225, 61, 77, 37, 107, 51, 9, 97, 133, 101, 49, 92, 23, 296, 67, 64, 345, 29, 161, 240, 109, 128, 27, 280, 107, 289, 53, 56, 151, 465, 235, 315, 91, 71, 43, 99, 72, 200, 26, 130, 49, 438, 57, 31, 227

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OFFSET

1,2

COMMENTS

First, second and third component of the triples are resp. in A092817, A092818, A092819.

LINKS

Table of n, a(n) for n=1..63.

EXAMPLE

The seventh triple is 184, 704, 776, hence a(7) = gcd(8*23,8*8*11,8*97) = 8.

PROG

(PARI) {m=4600; 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(gcd(gcd(a, b), c), ", ")))))); }

CROSSREFS

Cf. A091509, A092817, A092818, A092819.

Sequence in context: A036114 A369230 A219909 * A183894 A151438 A355558

Adjacent sequences: A092861 A092862 A092863 * A092865 A092866 A092867

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Mar 07 2004

STATUS

approved