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Positive integer solutions to 1/p + 1/q + 1/r = 1 by lexicographic order.
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%I #7 Apr 19 2013 14:46:15

%S 2,3,6,2,4,4,3,3,3

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

%H Frits Beukers, <a href="http://www.staff.science.uu.nl/~beuke106/Fermatlectures.pdf"> The generalized Fermat equation.</a>

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

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

%Y Cf. A030659.

%K nonn,fini,full

%O 0,1

%A _Jean-François Alcover_, Apr 19 2013