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A063411 Number of cyclic subgroups of order 8 of general affine group AGL(n,2). 0
0, 0, 0, 5040, 6249600, 15958978560, 138492255928320, 3264016697241108480, 167083534977568918732800, 26809984170742141560784158720, 15381567503446460704398211326935040 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 22 21:47 EST 2022. Contains 350504 sequences. (Running on oeis4.)