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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; text; internal format)
 OFFSET 1,4 LINKS Antti Karttunen, Table of n, a(n) for n = 1..12000 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. MATHEMATICA a[2] = 1; a[12|24|60] = 3; a[n_] := 2-Mod[n, 2]; Array[a, 105] (* Jean-François Alcover, Nov 12 2015 *) PROG (PARI) a(n)=if(n==2||n==12||n==24||n==60, if(n>2, 3, 1), if(n%2, 1, 2)) \\ Charles R Greathouse IV, Nov 10 2015 CROSSREFS The main sequences concerned with group theory are A000001, A000679, A001034, A001051, A001228, A005180, A000019, A000637, A000638, A002106, A005432, A051881. Sequence in context: A160979 A323287 A167679 * A338731 A081757 A323880 Adjacent sequences:  A051878 A051879 A051880 * A051882 A051883 A051884 KEYWORD nonn,easy,nice AUTHOR EXTENSIONS More terms from James A. Sellers and David W. Wilson Dec 16 1999 STATUS approved

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Last modified September 22 13:48 EDT 2021. Contains 347607 sequences. (Running on oeis4.)