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Search: id:A046055
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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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+0
17
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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; listen)
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OFFSET
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1,2
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COMMENT
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Linked to A100320 by a Catalan transform. - Paul Barry (pbarry(AT)wit.ie), Nov 14 2004
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to enumerating groups.
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FORMULA
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G.f.: x*(1+2*x)/(1-2*x); a(n)=2*2^(n-1)-0^(n-1), with 0^0:=1 - Paul Barry (pbarry(AT)wit.ie), Aug 25 2003
Binomial transform of A010684. Hankel transform is {1,-8,0,0,0,....}. In general, the Hankel transform of {1,k,1,k,1,k,...} (and all its binomial transforms) is given by {1,1-k^2,0,0,0,....}. - Paul Barry (pbarry(AT)wit.ie), Aug 29 2006
Row sums of triangle A131127 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 16 2007
a(n) = sum of (n-1)-th row terms of triangle A134058. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 05 2007
Row sums of triangle A134348. Also, binomial transform of A010684: (1, 3, 1, 3, 1, 3, 1, 3,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 21 2007
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CROSSREFS
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Cf. A000079, A000688, A046054, A046056.
Row sums of Pascal (3, 1) triangle A093560.
Cf. A131127.
Cf. A134058.
Cf. A134348, A010684.
Sequence in context: A111073 A005934 A085629 this_sequence A020707 A049934 A089890
Adjacent sequences: A046052 A046053 A046054 this_sequence A046056 A046057 A046058
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KEYWORD
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nonn,nice
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 06 2002
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