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

1,4

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

Table of n, a(n) for n=1..11.

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

Formula

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

Crossrefs

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

Sequence in context: A180369 A053876 A158050 * A008552 A221437 A221622

Adjacent sequences: A063408 A063409 A063410 * A063412 A063413 A063414

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved