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.

A378281 Number of subgroups of S_n isomorphic to S_5, where S_n is the n-th symmetric group.

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%I A378281 #11 Nov 27 2024 12:33:13
%S A378281 0,0,0,0,1,12,84,560,3276,79632,1105104,16571808,176344740
%N A378281 Number of subgroups of S_n isomorphic to S_5, where S_n is the n-th symmetric group.
%o A378281 (GAP) A378281 := function(n)
%o A378281 local S;
%o A378281 S := SymmetricGroup(n);
%o A378281 return Sum(IsomorphicSubgroups(S, SymmetricGroup(5)), x->Index(S, Normalizer(S, Image(x))));
%o A378281 end;
%Y A378281 Column k=5 of A378163.
%Y A378281 Cf. A000085, A378279, A378280.
%K A378281 nonn,hard,more
%O A378281 1,6
%A A378281 _Jianing Song_, Nov 21 2024