%I A046056
%S A046056 1,4,8,36,16,72,32,900,216,144,64,1800,0,288,128,44100,0,5400,0,
%T A046056 480,864,256,0,88200,1296,0,27000,480,0,512,0,5336100,1728,0,2592,
%U A046056 264600,0,0,0,176400,0,1024,0,2304,3456,0,0,10672200,7776,32400,0
%N A046056 Smallest order for which there are n nonisomorphic finite Abelian groups, 
               or 0 if no such order exists.
%C A046056 There is a k: A000688(k)=n if and only if n is product of partition numbers.
%H A046056 <a href="Sindx_Gre.html#groups">Index entries for sequences related to 
               enumerating groups.</a>
%H A046056 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AbelianGroup.html">Link to a section of The World of Mathematics.</
               a>
%H A046056 B. Horvat, G. Jaklic and T. Pisanski, <a href="http://arXiv.org/abs/math.CO/
               0503183">On the number of Hamiltonian groups</a>
%Y A046056 Cf. A000041, A000688, A046054, A046055, A046057.
%Y A046056 Sequence in context: A149107 A149108 A149109 this_sequence A158863 A074736 
               A044829
%Y A046056 Adjacent sequences: A046053 A046054 A046055 this_sequence A046057 A046058 
               A046059
%K A046056 nonn,nice
%O A046056 1,2
%A A046056 Eric Weisstein (eric(AT)weisstein.com)
%E A046056 More terms from Christian G. Bower (bowerc(AT)usa.net)