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A236684
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.
4
42, 24, 18, 15, 12, 20, 12, 8, 10, 6
OFFSET
1,1
COMMENTS
See A236681 for motivation, A236682 for a-values and A236684 for c-values.
According to J. Baez, a(1) is the Answer to the Ultimate Question of Life, the Universe, and Everything, cf. LINK.
Sequence A236681 is the range of this sequence, i.e., terms sorted in increasing order and duplicates removed.
EXAMPLE
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]}.
PROG
(PARI) forvec(v=vector(3, i, [3, 42]), sum(j=1, 3, 1/v[j])==1/2&&print1(v[3]", "), 1)
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
M. F. Hasler, Jan 29 2014
STATUS
approved