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 A062710 Number of cyclic subgroups of general affine group over GF(2), AGL(n,2). 18
 2, 17, 590, 105824, 69300688, 194965719104, 2426497181267968, 177803451495373322240, 52976870608237776911450112, 110350007913361454793759188320256 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished. LINKS Table of n, a(n) for n=1..10. V. Jovovic, Cycle index of general affine group AGL(n,2) Index entries for sequences related to groups FORMULA a(n) = Sum_{d} |{g element of AGL(n, 2): order(g)=d}|/phi(d), where phi=Euler totient function, cf. A000010. EXAMPLE a(3) = 1/phi(1)+91/phi(2)+224/phi(3)+420/phi(4)+224/phi(6)+384/phi(7) = 590. CROSSREFS Cf. A062250. Sequence in context: A172341 A356502 A007759 * A012939 A013094 A013063 Adjacent sequences: A062707 A062708 A062709 * A062711 A062712 A062713 KEYWORD nonn AUTHOR Vladeta Jovovic, Jul 13 2001 STATUS approved

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Last modified December 9 04:27 EST 2023. Contains 367681 sequences. (Running on oeis4.)