A224910 Positive integer solutions to 1/p + 1/q + 1/r = 1 by lexicographic order.

2, 3, 6, 2, 4, 4, 3, 3, 3

Offset

0,1

Links

Table of n, a(n) for n=0..8.

Frits Beukers, The generalized Fermat equation.

Example

The sequence consists of the three triples {2, 3, 6}, {2, 4, 4}, {3, 3, 3}.

Mathematica

{p, q, r} /. {ToRules @ Reduce[0 < p <= q <= r <= 6 && 1/p + 1/q + 1/r == 1, {p, q, r}, Integers]} // Flatten

Crossrefs

Cf. A030659.

Sequence in context: A132041 A225820 A153634 * A275734 A216993 A073546

Adjacent sequences: A224907 A224908 A224909 * A224911 A224912 A224913

Keyword

nonn,fini,full

Author

Jean-François Alcover, Apr 19 2013

Status

approved