A063406 Number of cyclic subgroups of order 3 of general affine group AGL(n,2).

0, 4, 112, 3136, 484096, 153545728, 72255188992, 169225143107584, 767806696376172544, 5846826552577416232960, 211692077904149369184059392, 14577670180222125357773973618688

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) = (A063386(n)-1)/2.