A063410 Number of cyclic subgroups of order 7 of general affine group AGL(n,2).

0, 0, 64, 7680, 634880, 4555898880, 36661900345344, 199424098393128960, 5767554639734568386560, 2536966895379879201142210560, 884897682352177233989316141645824

Offset

1,3

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) = (A063390(n)-1)/6.

Crossrefs

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

Sequence in context: A013995 A264007 A319832 * A075417 A294083 A084004

Adjacent sequences: A063407 A063408 A063409 * A063411 A063412 A063413

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved