The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A046056 Smallest order for which there are n nonisomorphic finite Abelian groups, or 0 if no such order exists. 9
 1, 4, 8, 36, 16, 72, 32, 900, 216, 144, 64, 1800, 0, 288, 128, 44100, 0, 5400, 0, 3600, 864, 256, 0, 88200, 1296, 0, 27000, 7200, 0, 512, 0, 5336100, 1728, 0, 2592, 264600, 0, 0, 0, 176400, 0, 1024, 0, 2304, 3456, 0, 0, 10672200, 7776, 32400, 0, 0, 0, 1323000, 5184, 2048, 0, 0, 0, 4608 (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 Charlie Neder, Table of n, a(n) for n = 1..1000 B. Horvat, G. Jaklic and T. Pisanski, On the number of Hamiltonian groups, arXiv:math/0503183 [math.CO], 2005. Charlie Neder, Python program for computing this sequence. Eric Weisstein's World of Mathematics, Abelian Group. Index entries for sequences related to groups CROSSREFS Cf. A000041, A000688, A033637, A046054, A046055, A046057. Sequence in context: A149108 A149109 A266676 * 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 a(20) and a(28) corrected, and a(52)-a(60) from Charlie Neder, Jan 17 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 18 09:54 EDT 2024. Contains 372620 sequences. (Running on oeis4.)