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Search: id:A063406
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| A063406 |
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Number of cyclic subgroups of order 3 of general affine group AGL(n,2). |
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+0
8
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| 0, 4, 112, 3136, 484096, 153545728, 72255188992, 169225143107584, 767806696376172544, 5846826552577416232960, 211692077904149369184059392, 14577670180222125357773973618688
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OFFSET
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1,2
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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) = (A063386(n)-1)/2.
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CROSSREFS
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Cf. A063406-A063413, A063385-A063393, A062710.
Sequence in context: A061454 A135917 A158450 this_sequence A013151 A006718 A085522
Adjacent sequences: A063403 A063404 A063405 this_sequence A063407 A063408 A063409
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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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