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A046055
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Orders of finite Abelian groups having the incrementally largest numbers of nonisomorphic forms (A046054).
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18
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1, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 221184, 262144, 442368, 524288, 663552, 884736, 995328, 1048576, 1327104, 1769472, 1990656, 2097152, 2654208, 3538944, 3981312, 4194304
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Different from A151821, but often confused with it.
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LINKS
| Eric Weisstein's World of Mathematics, Abelian Group.
Index entries for sequences related to enumerating groups.
Wikipedia, Abelian group
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FORMULA
| Warning: the g.f. is not x*(1+2*x)/(1-2*x), as claimed earlier.
Warning: this is not the binomial transform of A010684, as claimed earlier.
Warning: this is not the row sums of either A131127 or A134058, as claimed earler.
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MATHEMATICA
| aa = {}; max = 0; Do[If[FiniteAbelianGroupCount[n] > max, max = FiniteAbelianGroupCount[n]; AppendTo[aa, n]], {n, 2^22}]; aa (* Artur Jasinski, Oct 06 2011 *)
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CROSSREFS
| Cf. A000079, A000688, A046054, A046056, A010684.
Warning: this is different from A151821.
Sequence in context: A111073 A005934 A085629 * A186949 A020707 A151821
Adjacent sequences: A046052 A046053 A046054 * A046056 A046057 A046058
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KEYWORD
| nonn,nice
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
| More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 06 2002
Many incorrect formulas and assertions deleted by R. J. Mathar, Jul 08 2009
Edited by N. J. A. Sloane, Jul 08 2009
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