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A046055 Orders of finite Abelian groups having the incrementally largest numbers of nonisomorphic forms (A046054). +0
20
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; listen)
OFFSET

1,2

COMMENT

Different from A151821, but often confused with it.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to enumerating groups.

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.

CROSSREFS

Cf. A000079, A000688, A046054, A046056, A010684.

Warning: this is different from A151821.

Sequence in context: A111073 A005934 A085629 this_sequence A020707 A151821 A147639

Adjacent sequences: A046052 A046053 A046054 this_sequence A046056 A046057 A046058

KEYWORD

nonn,nice

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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