id:A046056 - OEIS Search Results

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Smallest order for which there are n nonisomorphic finite Abelian groups, or 0 if no such order exists.

+0
7

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; listen)

	OFFSET	`1,2`
	COMMENT	`There is a k: A000688(k)=n if and only if n is product of partition numbers.`
	LINKS	`Index entries for sequences related to enumerating groups.` `Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.` `B. Horvat, G. Jaklic and T. Pisanski, On the number of Hamiltonian groups`
	CROSSREFS	`Cf. A000041, A000688, A046054, A046055, A046057.` `Adjacent sequences: A046053 A046054 A046055 this_sequence A046057 A046058 A046059` `Sequence in context: A149107 A149108 A149109 this_sequence A158863 A074736 A044829`
	KEYWORD	`nonn,nice`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com)`
	EXTENSIONS	`More terms from Christian G. Bower (bowerc(AT)usa.net)`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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