A063413 Number of cyclic subgroups of order 10 of general affine group AGL(n,2).

0, 0, 0, 0, 2666496, 8063483904, 23667221200896, 1546057323758223360, 374969260180817571741696, 163457085861840749434433961984, 112603564970401075916528447354044416, 152237556325944043707910988547266571141120, 824860715471760736216894023298196038268145893376

Offset

1,5

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..13.

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

Formula

a(n) = (A063393(n)-A063388(n)-A063385(n)+1)/4.

Crossrefs

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

Sequence in context: A105380 A250911 A157840 * A210388 A251044 A151513

Adjacent sequences: A063410 A063411 A063412 * A063414 A063415 A063416

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Extensions

More terms from Sean A. Irvine, Apr 23 2023

Status

approved