%I A074859
%S A074859 1,1,2,6,20,240,420,2688,18144,120960,2661120,7983360,103783680,
%T A074859 1037836800,12454041600,149448499200,1693749657600,60974987673600,
%U A074859 289631191449600,5792623828992000,121645100408832000,3568256278659072000,
               30776210403434496000,738629049682427904000,12310484161373798400000
%N A074859 Number of elements of S_n having the maximum possible order g(n), where 
               g(n) is Landau's function (A000793).
%D A074859 J. Kuzmanovich and A. Pavlichenkov, Finite groups of matrices whose entries 
               are integers, Amer. Math. Monthly, 109 (2002), 173-186.
%D A074859 W. Miller, The Maximum Order of an Element of Finite Symmetric Group, 
               Am. Math. Monthly, Jun-Jul 1987, pp. 497-506.
%D A074859 J.-L. Nicolas, Sur l'ordre maximum d'un e'le'ment dans le groupe S_n 
               des permutations, Acta Arith., 14 (1968), 315-332.
%D A074859 J.-L. Nicolas, Ordre maximum d'un e'le'ment du groupe de permutations 
               et highly composite numbers, Bull. Math. Soc. France, 97 (1969), 
               129-191.
%D A074859 J.-L. Nicolas, On Landau's function g(n), pp. 228-240 of R. L. Graham 
               et al., eds., Mathematics of Paul Erdos I.
%F A074859 a(n) = n!*coefficient of x^n in expansion of Sum_{i divides A000793(n)} 
               mu(A000793(n)/i)*exp(Sum_{j divides i} x^j/j). - Vladeta Jovovic 
               (vladeta(AT)eunet.rs), Sep 29 2002
%Y A074859 Cf. A000793 (Landau's function g(n)).
%Y A074859 Cf. A074064, A074103, A074115.
%Y A074859 Sequence in context: A156334 A082690 A104861 this_sequence A162682 A103160 
               A126099
%Y A074859 Adjacent sequences: A074856 A074857 A074858 this_sequence A074860 A074861 
               A074862
%K A074859 easy,nice,nonn
%O A074859 1,3
%A A074859 Chris Smyth (chris(AT)maths.ed.ac.uk), Sep 11 2002
%E A074859 Corrected and extended by Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 
               20 2002