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A236682 Values of a for triples (a,b,c) of positive integers such that 1/a + 1/b + 1/c = 1/2 and a <= b <= c, listed with multiplicity. 3

%I #7 Jan 30 2014 09:42:10

%S 3,3,3,3,3,4,4,4,5,6

%N Values of a for triples (a,b,c) of positive integers such that 1/a + 1/b + 1/c = 1/2 and a <= b <= c, listed with multiplicity.

%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[1]","),1)

%Y Cf. A236681, A236683, A236684.

%K nonn,fini,full

%O 1,1

%A _M. F. Hasler_, Jan 29 2014

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