A063413 Number of cyclic subgroups of order 10 of general affine group AGL(n,2).

0, 0, 0, 0, 2666496, 8063483904, 23667221200896, 1546057323758223360, 374969260180817571741696, 163457085861840749434433961984, 112603564970401075916528447354044416, 152237556325944043707910988547266571141120, 824860715471760736216894023298196038268145893376

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) = (A063393(n)-A063388(n)-A063385(n)+1)/4.

Extensions

More terms from Sean A. Irvine, Apr 23 2023