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Search: id:A046054
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| A046054 |
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Incrementally largest number of nonisomorphic finite Abelian groups as a function of order. |
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+0
4
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| 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176, 231, 297, 303, 385, 405, 490, 505, 528, 539, 627, 675, 693, 707, 792, 880, 891, 945, 1002, 1155, 1232, 1255, 1485, 1617, 1925, 1936, 2079, 2450, 2541, 2695, 3135, 3267, 3430, 3465, 3960, 4235
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Records in A000688. These records occur at A000688(n) when n=2^k {k=0,1,2,3,4,...} - Artur Jasinski (grafix(AT)csl.pl), Mar 14 2008
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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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MATHEMATICA
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a = {}; b = 0; f[n_] := Times @@ PartitionsP /@ Last /@ FactorInteger@n; k = Array[f, 1000000]; Do[If[k[[m]] > b, b = k[[m]]; AppendTo[a, b]], {m, 1, Length[k]}]; a using a procedure from Robert G. Wilson*) - Artur Jasinski (grafix(AT)csl.pl), Mar 14 2008
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CROSSREFS
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Cf. A000688, A046055, A046056.
Sequence in context: A104501 A008635 A008641 this_sequence A092885 A000041 A084251
Adjacent sequences: A046051 A046052 A046053 this_sequence A046055 A046056 A046057
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KEYWORD
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nonn
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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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