A062710 Number of cyclic subgroups of general affine group over GF(2), AGL(n,2).

2, 17, 590, 105824, 69300688, 194965719104, 2426497181267968, 177803451495373322240, 52976870608237776911450112, 110350007913361454793759188320256

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V. Jovovic, The cycle index polynomials of some classical groups, Belgrade, 1995, unpublished.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