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Search: id:A062710
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| A062710 |
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Number of cyclic subgroups of general affine group over GF(2), AGL(n,2). |
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+0
19
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| 2, 17, 590, 105824, 69300688, 194965719104, 2426497181267968, 177803451495373322240, 52976870608237776911450112, 110350007913361454793759188320256
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OFFSET
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1,1
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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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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 affine group AGL(n,2)
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FORMULA
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a(n) = Sum_{d} |{g element of AGL(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)+91/phi(2)+224/phi(3)+420/phi(4)+224/phi(6)+384/phi(7) = 590.
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CROSSREFS
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Cf. A062250.
Sequence in context: A152557 A015202 A007759 this_sequence A012939 A013094 A013063
Adjacent sequences: A062707 A062708 A062709 this_sequence A062711 A062712 A062713
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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 13 2001
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