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A063408 Number of cyclic subgroups of order 5 of general affine group AGL(n,2). 0
0, 0, 0, 5376, 2666496, 895942656, 260079353856, 5663488009568256, 731639373896934752256, 63867566904037836331155456, 4781235184059094238818788704256, 436966645827601226875601365191622656 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 3 04:21 EDT 2020. Contains 333195 sequences. (Running on oeis4.)