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Search: id:A062250
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| A062250 |
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Number of cyclic subgroups of Chevalley group A_n(2) (the group of nonsingular n X n matrices over GF(2) ). |
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5
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| 1, 5, 79, 6974, 2037136, 2890467344, 14011554132032, 325330342132674560, 27173394819858612320256, 10158190320726534408118452224, 13156630408268153048253765001412608, 80280189722884518774834501142737770774528
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OFFSET
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1,2
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REFERENCES
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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.
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LINKS
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V. Jovovic, Cycle index of general linear group GL(n,2)
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FORMULA
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a(n) = Sum_{d} |{g element of A_n(2): order(g)=d}|/phi(d), where phi=Euler totient function, cf. A000010.
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EXAMPLE
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a(3) = 1/phi(1)+21/phi(2)+56/phi(3)+42/phi(4)+48/phi(7) = 79.
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CROSSREFS
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Cf. A053651 (unlabeled case), A053658, A053660, A053718, A053722, A053725, A053771-A053777, A058502, A062552, A062240.
Sequence in context: A106939 A142114 A134531 this_sequence A131284 A105917 A062364
Adjacent sequences: A062247 A062248 A062249 this_sequence A062251 A062252 A062253
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KEYWORD
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nonn
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AUTHOR
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Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 01 2001
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 04 2001
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