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 A126102 Number of pointed groups of order n: that is, Sum_{G = group of order n} Number of conjugacy classes in G. 2
 1, 2, 3, 8, 5, 9, 7, 34, 18, 14, 11, 40, 13, 19, 15, 161, 17, 57, 19, 61, 26, 29, 23, 197, 50, 34, 103, 76, 29, 66, 31, 912, 33, 44, 35, 267, 37, 49, 46, 293, 41, 107, 43, 116, 90, 59, 47, 1096, 98, 148, 51, 143, 53, 371, 62, 377, 66, 74, 59, 325, 61, 79, 156, 7068 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Number of pairs (G, g in G) for G a group of order n. This has the same relation to A000001 (groups) as A000081 (pointed trees, also called rooted trees) does to trees (A000055). LINKS Klaus Brockhaus, Table of n, a(n) for n=1..255 PROG (MAGMA) SmallGroupDatabase(); for o in [1..64] do t1:=0; t2:=NumberOfSmallGroups(o); for n in [1..t2] do G:=Group(o, n); t1:=t1 + #ConjugacyClasses(G); end for; print(t1); end for; (MAGMA, a more compact version) D:=SmallGroupDatabase(); [ &+[ #ConjugacyClasses(Group(D, o, n)): n in [1..NumberOfSmallGroups(D, o)] ]: o in [1..64] ]; /* Klaus Brockhaus, Mar 06 2007 */ CROSSREFS Cf. A000001 (groups). See A126103 for a different and better version. Sequence in context: A089489 A154760 A114340 * A011433 A126139 A060872 Adjacent sequences:  A126099 A126100 A126101 * A126103 A126104 A126105 KEYWORD nonn AUTHOR N. J. A. Sloane, Mar 06 2007 STATUS approved

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