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A063411 Number of cyclic subgroups of order 8 of general affine group AGL(n,2). 0

%I #7 May 10 2013 12:44:50

%S 0,0,0,5040,6249600,15958978560,138492255928320,3264016697241108480,

%T 167083534977568918732800,26809984170742141560784158720,

%U 15381567503446460704398211326935040

%N Number of cyclic subgroups of order 8 of general affine group AGL(n,2).

%C 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).

%H V. Jovovic, <a href="/A062766/a062766.pdf">Cycle index of general affine group AGL(n,2)</a>

%F a(n) = (A063391(n)-A063387(n))/4.

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

%K nonn

%O 1,4

%A _Vladeta Jovovic_, Jul 17 2001

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Last modified June 28 13:20 EDT 2024. Contains 373786 sequences. (Running on oeis4.)