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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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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: A293178 A172341 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 October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)