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

Author

Jean-François Alcover, Apr 19 2013

Keywords

• nonn
• fini
• full

Examples

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

Links

• Frits Beukers, The generalized Fermat equation.

Crossrefs

Cf. A030659.

Programs

Mathematica

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