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A046054 Incrementally largest number of nonisomorphic finite Abelian groups as a function of order. 5
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Records in A000688. - Artur Jasinski, Mar 14 2008

LINKS

Charlie Neder, Table of n, a(n) for n = 1..216

Eric Weisstein's World of Mathematics, Abelian Group

Index entries for sequences related to enumerating groups.

MATHEMATICA

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 v; Artur Jasinski, Mar 14 2008 *)

CROSSREFS

Cf. A000688, A046055, A046056.

Sequence in context: A242698 A242699 A194439 * A242700 A242701 A092885

Adjacent sequences:  A046051 A046052 A046053 * A046055 A046056 A046057

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

EXTENSIONS

More terms from David Wasserman, Feb 06 2002

STATUS

approved

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Last modified May 26 02:35 EDT 2019. Contains 323579 sequences. (Running on oeis4.)