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A046056 Smallest order for which there are n nonisomorphic finite Abelian groups, or 0 if no such order exists. 8
1, 4, 8, 36, 16, 72, 32, 900, 216, 144, 64, 1800, 0, 288, 128, 44100, 0, 5400, 0, 480, 864, 256, 0, 88200, 1296, 0, 27000, 480, 0, 512, 0, 5336100, 1728, 0, 2592, 264600, 0, 0, 0, 176400, 0, 1024, 0, 2304, 3456, 0, 0, 10672200, 7776, 32400, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

There is a k: A000688(k)=n if and only if n is product of partition numbers.

LINKS

Table of n, a(n) for n=1..51.

B. Horvat, G. Jaklic and T. Pisanski, On the number of Hamiltonian groups

Eric Weisstein's World of Mathematics, Abelian Group.

Index entries for sequences related to enumerating groups.

CROSSREFS

Cf. A000041, A000688, A046054, A046055, A046057.

Sequence in context: A218628 A149108 A149109 * A158863 A074736 A044829

Adjacent sequences:  A046053 A046054 A046055 * A046057 A046058 A046059

KEYWORD

nonn,nice

AUTHOR

Eric W. Weisstein

EXTENSIONS

More terms from Christian G. Bower

STATUS

approved

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Last modified June 19 19:50 EDT 2013. Contains 226416 sequences.