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Number of connected subgroups of the alternating group A_n.
3

%I #12 Jul 21 2022 01:26:02

%S 0,1,0,1,5,23,257,1048,27219,137537,2725441,22377824,1221555748,

%T 7846888669,406966068706,5178802915485,417065722270965,

%U 3785224363874273

%N Number of connected subgroups of the alternating group A_n.

%C A permutation group is connected if it is not the direct product of smaller permutation groups.

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%F Logarithmic transform of A029725.

%Y Labeled version of A116653.

%K nonn,hard

%O 0,5

%A _Christian G. Bower_, Feb 23 2006

%E a(14)-a(17) from _Vaclav Kotesovec_, Jul 21 2022