A063408 Number of cyclic subgroups of order 5 of general affine group AGL(n,2).

0, 0, 0, 5376, 2666496, 895942656, 260079353856, 5663488009568256, 731639373896934752256, 63867566904037836331155456, 4781235184059094238818788704256, 436966645827601226875601365191622656

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..12.

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

Formula

a(n) = (A063388(n)-1)/4.

Crossrefs

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

Sequence in context: A258074 A237295 A296146 * A057850 A058325 A224688

Adjacent sequences: A063405 A063406 A063407 * A063409 A063410 A063411

Keyword

nonn

Author

Vladeta Jovovic, Jul 17 2001

Status

approved