cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A378280 Number of subgroups of S_n isomorphic to S_4, where S_n is the n-th symmetric group.

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%I A378280 #11 Nov 27 2024 12:33:31
%S A378280 0,0,0,1,5,60,560,5740,58716,734160,8337120,133212420,1769490580
%N A378280 Number of subgroups of S_n isomorphic to S_4, where S_n is the n-th symmetric group.
%o A378280 (GAP) A378280 := function(n)
%o A378280 local S;
%o A378280 S := SymmetricGroup(n);
%o A378280 return Sum(IsomorphicSubgroups(S, SymmetricGroup(4)), x->Index(S, Normalizer(S, Image(x))));
%o A378280 end; # See A378163
%Y A378280 Column k=4 of A378163.
%Y A378280 Cf. A000085, A378279, A378281.
%K A378280 nonn,hard,more
%O A378280 1,5
%A A378280 _Jianing Song_, Nov 21 2024