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%I #17 Dec 13 2014 00:50:24
%S 1,3,3,6,10,10,9,20,21,21,16,28,11,33,36,31,24,57,11,68,42,35,23,70,
%T 37,51,79,76,30,96,17,65,62,50,138,160,18,51,59,142,34,136,24,140,196,
%U 46,32,128,43,98,73,111,46,211,111,192,80,63,46,292,24,81,245
%N Number of ways to express 3/n as Egyptian fractions in just three terms; i.e., 3/n = 1/x + 1/y + 1/z satisfying 1<=x<=y<=z.
%C See A073101 for the 4/n conjecture due to Erdős and Straus.
%t f[n_] := Length@ Solve[ 3/n == 1/x + 1/y + 1/z && 1 <= x <= y <= z, {x, y, z}, Integers]; Array[f, 70]
%Y Cf. A075785, A004194, A226641, A192787, A226644, A226645, A226646.
%K nonn
%O 1,2
%A _Allan C. Wechsler_ and _Robert G. Wilson v_, Aug 17 2013
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