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Number of maximal subgroups of alternating group A_n, counting conjugates as distinct.
1

%I #5 Jul 02 2018 20:27:02

%S 0,1,5,21,52,93,157,1615,3976,6063,38657,41029695,40060126,66408709,

%T 69552217,21794638335,1307902407752,355687428358143,355691118382363,

%U 10559506801336735,1267150213999726,2534272929378303,2548357888109546,1831184524199042148591

%N Number of maximal subgroups of alternating group A_n, counting conjugates as distinct.

%o (GAP) List([2..20], n->Sum( ConjugacyClassesMaximalSubgroups( AlternatingGroup(n)), Size));

%Y Cf. A029725, A066113, A290138.

%K nonn

%O 2,3

%A _Andrew Howroyd_, Jul 02 2018