A063411 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A063411

Number of cyclic subgroups of order 8 of general affine group AGL(n,2).

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