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.

A281097 Number of group homomorphisms S_3 -> S_n, where S_n denotes the symmetric group on n letters.

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%I A281097 #20 Nov 27 2024 18:57:29
%S A281097 1,2,10,34,146,1036,5692,36380,323164,2394136,19863416,210278872,
%T A281097 1937685400
%N A281097 Number of group homomorphisms S_3 -> S_n, where S_n denotes the symmetric group on n letters.
%F A281097 a(n) = 6*A378279(n) + A000085(n). See A378163 for more information. - _Jianing Song_, Nov 27 2024
%o A281097 (GAP) List([1..8], n -> Length(AllHomomorphisms(SymmetricGroup(3), SymmetricGroup(n))));
%Y A281097 A000085 gives the number of group homomorphisms S_2 -> S_n.
%Y A281097 Cf. A378279, A378163.
%K A281097 nonn,hard,more
%O A281097 1,2
%A A281097 _Daniel McLaury_, Apr 12 2017
%E A281097 a(8) from _Georg Fischer_, Jun 16 2022
%E A281097 a(9)-a(13) from _Jianing Song_, Nov 27 2024