A063409 Number of cyclic subgroups of order 6 of general affine group AGL(n,2).

0, 0, 112, 33600, 17387776, 25992336384, 82647777759232, 833357980338831360, 28526490693606372081664, 3614600380702981731403431936, 1544913993707932218852890836467712

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) = (A063389(n)-A063386(n)-A063385(n)+1)/2.