%I #11 Feb 04 2014 00:48:01
%S 42,24,18,15,12,20,12,8,10,6
%N Values of c of triples (a,b,c) of positive integers such that 1/a + 1/b + 1/c = 1/2 and a <= b <= c. Listed with multiplicity, corresponding to solutions (a,b,c) listed in lexicographic order.
%C See A236681 for motivation, A236682 for a-values and A236684 for c-values.
%C According to J. Baez, a(1) is the Answer to the Ultimate Question of Life, the Universe, and Everything, cf. LINK.
%C Sequence A236681 is the range of this sequence, i.e., terms sorted in increasing order and duplicates removed.
%H J. Baez, <a href="http://www.math.ucr.edu/home/baez/42.html">42</a>.
%e The solutions [a,b,c] of 1/a + 1/b + 1/c = 1/2 and a <= b <= c, listed in lexicographical order, are: {[3, 7, 42], [3, 8, 24], [3, 9, 18], [3, 10, 15], [3, 12, 12], [4, 5, 20], [4, 6, 12], [4, 8, 8], [5, 5, 10], [6, 6, 6]}.
%o (PARI) forvec(v=vector(3,i,[3,42]),sum(j=1,3,1/v[j])==1/2&&print1(v[3]","),1)
%Y Cf. A236681, A236682, A236683.
%K nonn,fini,full
%O 1,1
%A _M. F. Hasler_, Jan 29 2014