A063412 Number of cyclic subgroups of order 9 of general affine group AGL(n,2).

0, 0, 0, 0, 0, 3413114880, 27741797744640, 1358238417577574400, 158642247173060689920000, 19305274051251991346235310080, 12592116839628085308180342547415040

Offset

1,6

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) = (A063392(n)-A063386(n))/6.

Crossrefs

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

Sequence in context: A251523 A155961 A282401 * A184672 A038686 A017086

Adjacent sequences: A063409 A063410 A063411 * A063413 A063414 A063415

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved