%I #2 Mar 30 2012 17:37:58
%S 0,0,0,1,1,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2
%N Number of maximum-size subsets of {1,2,3,...,n} whose geometric means are an integer.
%e For n=4, (1*4)^(1/2)=2 and (1*2*4)^(1/3)=2. No other subset of {1,2,3,4} has integer geometric mean and only one has maximum size 3, so a(4)=1.
%Y A147751, A147752
%K nonn
%O 1,8
%A _John W. Layman_, Nov 11 2008