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A063410 Number of cyclic subgroups of order 7 of general affine group AGL(n,2). 0
0, 0, 64, 7680, 634880, 4555898880, 36661900345344, 199424098393128960, 5767554639734568386560, 2536966895379879201142210560, 884897682352177233989316141645824 (list; graph; refs; listen; history; text; internal format)
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: A223198 A180377 A013995 * A075417 A084004 A160448

Adjacent sequences:  A063407 A063408 A063409 * A063411 A063412 A063413

KEYWORD

nonn

AUTHOR

Vladeta Jovovic, Jul 17 2001

STATUS

approved

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Last modified August 28 13:11 EDT 2015. Contains 261122 sequences.