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A063410 Number of cyclic subgroups of order 7 of general affine group AGL(n,2). 0

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

%S 0,0,64,7680,634880,4555898880,36661900345344,199424098393128960,

%T 5767554639734568386560,2536966895379879201142210560,

%U 884897682352177233989316141645824

%N Number of cyclic subgroups of order 7 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) = (A063390(n)-1)/6.

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

%K nonn

%O 1,3

%A _Vladeta Jovovic_, Jul 17 2001

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Last modified June 28 15:58 EDT 2024. Contains 373800 sequences. (Running on oeis4.)