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Search: id:A063411
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| A063411 |
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Number of cyclic subgroups of order 8 of general affine group AGL(n,2). |
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+0 1
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| 0, 0, 0, 5040, 6249600, 15958978560, 138492255928320, 3264016697241108480, 167083534977568918732800, 26809984170742141560784158720, 15381567503446460704398211326935040
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OFFSET
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1,4
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COMMENT
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Number of cyclic subgroups of order m in general affine group AGL(n,2) is 1/phi(m)*Sum_{d|m} mu(m/d)*b(n,d), where b(n,d) is number of solutions to x^d=1 in AGL(n,2).
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LINKS
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V. Jovovic, Cycle index of general affine group AGL(n,2)
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FORMULA
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a(n) = (A063391(n)-A063387(n))/4.
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CROSSREFS
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Cf. A063406-A063413, A063385-A063393, A062710.
Sequence in context: A055362 A053876 A158050 this_sequence A008552 A010800 A158039
Adjacent sequences: A063408 A063409 A063410 this_sequence A063412 A063413 A063414
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 17 2001
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