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%I #21 Apr 28 2020 11:31:41
%S 0,1,1,3,3,3,1,6,8,10,7,10,1,9,12,20,8,21,2,21,17,16,11,28,7,11,26,33,
%T 9,36,3,31,25,24,60,57,2,11,20,68,10,42,6,35,81,23,15,70,10,37,25,51,
%U 14,79,33,76,32,30,20,96,2,17,86,65,48,62,9,50,42,138,35,160,2,18,53,51,52,59,8,142,89,34,23,136,37,24,33,140,23,196,30,46,37,32,75,128,5,43,103,98
%N Number of ways to express 6/n as Egyptian fractions in just three terms; i.e., 6/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.
%H Daniel Leary, <a href="/A226645/b226645.txt">Table of n, a(n) for n = 1..1000</a>
%t a[n_] := Length@ Solve[ 6/n == 1/x + 1/y + 1/z && 1 <= x <= y <= z, {x, y, z}, Integers]; Array[a, 70]
%Y Cf. A226640, A004194, A226642, A192787, A226644, A226646.
%K nonn
%O 1,4
%A _Allan C. Wechsler_ and _Robert G. Wilson v_, Aug 17 2013
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