A063409 Number of cyclic subgroups of order 6 of general affine group AGL(n,2).

0, 0, 112, 33600, 17387776, 25992336384, 82647777759232, 833357980338831360, 28526490693606372081664, 3614600380702981731403431936, 1544913993707932218852890836467712

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) = (A063389(n)-A063386(n)-A063385(n)+1)/2.

Crossrefs

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

Sequence in context: A049217 A206310 A331670 * A051366 A051363 A362963

Adjacent sequences: A063406 A063407 A063408 * A063410 A063411 A063412

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved