A063411 Number of cyclic subgroups of order 8 of general affine group AGL(n,2).

0, 0, 0, 5040, 6249600, 15958978560, 138492255928320, 3264016697241108480, 167083534977568918732800, 26809984170742141560784158720, 15381567503446460704398211326935040

Offset: 1

Author

Vladeta Jovovic, Jul 17 2001

Keywords

• nonn

Comments

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).

Links

• V. Jovovic, Cycle index of general affine group AGL(n,2)

Crossrefs

Cf. A063406-A063413, A063385-A063393, A062710.

Formula

a(n) = (A063391(n)-A063387(n))/4.