Search: id:A060249
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%I A060249
%S A060249 1,1,6,24,120,1440,5040,40320,362880,3628800,39916800,479001600,
%T A060249 6227020800,87178291200,1307674368000,20922789888000,355687428096000,
%U A060249 6402373705728000,121645100408832000,2432902008176640000
%N A060249 Size of the automorphism group of the symmetric group S_n.
%F A060249 For all n except n=2 and n=6, Aut(S_n) is S_n itself, i.e. S_n has no 
               outer automorphisms. Aut(S_2) is trivial and Aut(S_6) is of order 
               2*|S_6| = 1440 - there is an outer involution.
%F A060249 a(n) = n! except for n=2 and 6.
%Y A060249 Cf. A000142.
%Y A060249 Sequence in context: A051197 A050212 A047865 this_sequence A052557 A052170 
               A027224
%Y A060249 Adjacent sequences: A060246 A060247 A060248 this_sequence A060250 A060251 
               A060252
%K A060249 nonn,easy
%O A060249 0,3
%A A060249 Ola Veshta (olaveshta(AT)my-deja.com), Mar 22 2001

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