%I A058161
%S A058161 1,1,1,3,6,60,120,1260,6720,90720,362880,9979200,39916800,1037836800,
%T A058161 10897286400,163459296000,1307674368000,59281238016000,355687428096000,
%U A058161 15205637551104000,202741834014720000
%N A058161 Number of labeled cyclic groups with a fixed identity.
%C A058161 Degree of Lagrange resolvent of polynomial of n-th degree. Equals degree 
               of symmetric group of order n divided by order of metacyclic group 
               of order n.. - Artur Jasinski (grafix(AT)csl.pl), Jan 22 2008
%D A058161 J. L. Lagrange, Oeuvres, Vol. III Paris 1869.
%H A058161 <a href="Sindx_Gre.html#groups">Index entries for sequences related to 
               groups</a>
%F A058161 a(n)=(n-1)!/phi(n).
%F A058161 a(n)=n!/A002618(n) - Artur Jasinski (grafix(AT)csl.pl), Jan 22 2008
%t A058161 Table[n!/(n EulerPhi[n]), {n, 1, 20}] - Artur Jasinski (grafix(AT)csl.pl), 
               Jan 22 2008
%Y A058161 a(n)=A000142(n-1)/A000010(n)=A034381(n)/n. Cf. A058162, A058163.
%Y A058161 Cf. A002618.
%Y A058161 Sequence in context: A067610 A067609 A012473 this_sequence A012877 A103066 
               A145887
%Y A058161 Adjacent sequences: A058158 A058159 A058160 this_sequence A058162 A058163 
               A058164
%K A058161 nonn
%O A058161 1,4
%A A058161 Christian G. Bower (bowerc(AT)usa.net), Nov 14 2000