A063407 Number of cyclic subgroups of order 4 of general affine group AGL(n,2).

0, 3, 210, 21840, 4248240, 2439718848, 4490186803200, 21306683553761280, 243362078944548372480, 8447714338361362064867328, 916006668995029638614026813440, 257020596641378222874290942398955520

Offset

1,2

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..12.

V. Jovovic, Cycle index of general affine group AGL(n,2)

Formula

a(n) = (A063387(n)-A063385(n))/2.

Crossrefs

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

Sequence in context: A157390 A251864 A349073 * A303214 A258110 A072196

Adjacent sequences: A063404 A063405 A063406 * A063408 A063409 A063410

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved