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A063410
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Number of cyclic subgroups of order 7 of general affine group AGL(n,2).
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0
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0, 0, 64, 7680, 634880, 4555898880, 36661900345344, 199424098393128960, 5767554639734568386560, 2536966895379879201142210560, 884897682352177233989316141645824
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OFFSET
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1,3
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COMMENTS
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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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Table of n, a(n) for n=1..11.
V. Jovovic, Cycle index of general affine group AGL(n,2)
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FORMULA
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a(n) = (A063390(n)-1)/6.
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CROSSREFS
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Cf. A063406-A063413, A063385-A063393, A062710.
Sequence in context: A223198 A180377 A013995 * A075417 A084004 A160448
Adjacent sequences: A063407 A063408 A063409 * A063411 A063412 A063413
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic, Jul 17 2001
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STATUS
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approved
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