%I A046055
%S A046055 1,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536,
%T A046055 131072,221184,262144,442368,524288,663552,884736,995328,1048576,
%U A046055 1327104,1769472,1990656,2097152,2654208,3538944,3981312,4194304
%N A046055 Orders of finite Abelian groups having the incrementally largest numbers 
               of nonisomorphic forms (A046054).
%C A046055 Different from A151821, but often confused with it.
%H A046055 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 A046055 <a href="Sindx_Gre.html#groups">Index entries for sequences related to 
               enumerating groups.</a>
%F A046055 Warning: the g.f. is not x*(1+2*x)/(1-2*x), as claimed earlier.
%F A046055 Warning: this is not the binomial transform of A010684, as claimed earlier.
%F A046055 Warning: this is not the row sums of either A131127 or A134058, as claimed 
               earler.
%Y A046055 Cf. A000079, A000688, A046054, A046056, A010684.
%Y A046055 Warning: this is different from A151821.
%Y A046055 Sequence in context: A111073 A005934 A085629 this_sequence A020707 A151821 
               A147639
%Y A046055 Adjacent sequences: A046052 A046053 A046054 this_sequence A046056 A046057 
               A046058
%K A046055 nonn,nice
%O A046055 1,2
%A A046055 Eric Weisstein (eric(AT)weisstein.com)
%E A046055 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 06 
               2002
%E A046055 Many incorrect formulas and assertions deleted by R. J. Mathar, Jul 08 
               2009
%E A046055 Edited by N. J. A. Sloane, Jul 08 2009