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A058161
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Number of labeled cyclic groups with a fixed identity.
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5
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1, 1, 1, 3, 6, 60, 120, 1260, 6720, 90720, 362880, 9979200, 39916800, 1037836800, 10897286400, 163459296000, 1307674368000, 59281238016000, 355687428096000, 15205637551104000, 202741834014720000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Degree of Lagrange resolvent of polynomial of n-th degree. Equals degree of symmetric group of order n divided by order of metacyclic group of order n.. - Artur Jasinski (grafix(AT)csl.pl), Jan 22 2008
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REFERENCES
| J. L. Lagrange, Oeuvres, Vol. III Paris 1869.
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LINKS
| Index entries for sequences related to groups
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FORMULA
| a(n)=(n-1)!/phi(n).
a(n)=n!/A002618(n) - Artur Jasinski (grafix(AT)csl.pl), Jan 22 2008
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MATHEMATICA
| Table[n!/(n EulerPhi[n]), {n, 1, 20}] - Artur Jasinski (grafix(AT)csl.pl), Jan 22 2008
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CROSSREFS
| a(n)=A000142(n-1)/A000010(n)=A034381(n)/n. Cf. A058162, A058163.
Cf. A002618.
Sequence in context: A067610 A067609 A012473 * A012877 A103066 A145887
Adjacent sequences: A058158 A058159 A058160 * A058162 A058163 A058164
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Nov 14 2000
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