id:A090052 - OEIS Search Results

Search: id:A090052

Displaying 1-1 of 1 results found.

page 1

Group-abundant numbers: n such that the number of groups of order n (A000001) exceeds n.

+0
1

1, 32, 48, 64, 96, 128, 144, 160, 192, 256, 288, 320, 384, 432, 448, 480, 512, 576, 640, 648, 672, 704, 720, 768, 800, 832, 864, 896, 960, 1024, 1088, 1152, 1216, 1248, 1280, 1296, 1344, 1408, 1440, 1458, 1536, 1600, 1664, 1728, 1792, 1920 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`It seems fairly certain that 1 is the only group-perfect number and that almost all numbers are group-deficient. However, all that is known at present is that all square-free numbers are group-deficient.`
	CROSSREFS	`Cf. A000001.` `Sequence in context: A114416 A046304 A114447 this_sequence A163285 A036329 A014614` `Adjacent sequences: A090049 A090050 A090051 this_sequence A090053 A090054 A090055`
	KEYWORD	`nonn`
	AUTHOR	`John Conway (conway(AT)Math.Princeton.EDU), Jan 21 2004`

page 1

Search completed in 0.002 seconds

Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

AT&T Labs Research