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Search: id:A063413
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| A063413 |
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Number of cyclic subgroups of order 10 of general affine group AGL(n,2). |
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+0
8
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| 0, 0, 0, 0, 2666496, 8063483904, 23667221200896, 1546057323758223360, 374969260180817571741696, 163457085861840749434433961984, 112603564970401075916528447354044416
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OFFSET
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1,5
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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) = (A063393(n)-A063388(n)-A063385(2)+1)/4.
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CROSSREFS
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Cf. A063406-A063413, A063385-A063393, A062710.
Sequence in context: A004674 A123155 A105380 this_sequence A121108 A046517 A046508
Adjacent sequences: A063410 A063411 A063412 this_sequence A063414 A063415 A063416
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 17 2001
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