A001051 - OEIS

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A001051

Number of subgroups of order n in orthogonal group O(3).

1, 3, 1, 5, 1, 5, 1, 7, 1, 5, 1, 8, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 10, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 8, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 8, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7, 1, 5, 1, 7 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.`
	FORMULA	`Has period 1 5 1 7 except that a(2) = 3, a(4) = 5, a(12) = 8, a(24) = 10, a(48) = a(60) = a(120) = 8.`
	CROSSREFS	`The main sequences concerned with group theory are A000001, A000679, A001034, A001051, A001228, A005180, A000019, A000637, A000638, A002106, A005432, A051881.` `Sequence in context: A056753 A154723 A114567 * A046730 A002972 A029652` `Adjacent sequences: A001048 A001049 A001050 * A001052 A001053 A001054`
	KEYWORD	`nonn,easy,nice`
	AUTHOR	`J. H. Conway, conway(AT)math.princeton.edu`

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Last modified February 17 14:19 EST 2012. Contains 206038 sequences.