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A051881 Number of subgroups of order n in special orthogonal group SO(3). 2
1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

FORMULA

Has period 1, 2 except for a(2) = 1, a(12) = a(24) = a(60) = 3.

EXAMPLE

The groups are "nn", of order n; "22n", of order 2n; "332", "432", "532" of orders 12,24,60.

CROSSREFS

The main sequences concerned with group theory are A000001, A000679, A001034, A001051, A001228, A005180, A000019, A000637, A000638, A002106, A005432, A051881.

Sequence in context: A161275 A160979 A167679 * A081757 A033107 A083897

Adjacent sequences:  A051878 A051879 A051880 * A051882 A051883 A051884

KEYWORD

nonn,easy,nice

AUTHOR

J. H. Conway, conway(AT)math.princeton.edu

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu) and David W. Wilson (davidwwilson(AT)comcast.net) Dec 16 1999

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Last modified February 14 22:37 EST 2012. Contains 205679 sequences.