%I A053499
%S A053499 1,1,1,3,9,21,81,351,1233,46089,434241,2359611,27387801,264333213,
%T A053499 1722161169,16514298711,163094452641,1216239520401,50883607918593,
%U A053499 866931703203699,8473720481213481,166915156382509221,2699805625227141201
%N A053499 Number of degree-n permutations of order dividing 9.
%D A053499 L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. 
               J. Math., 7 (1955), 159-168.
%D A053499 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see 
               Example 5.2.10.
%F A053499 E.g.f.: exp(x+1/3*x^3+1/9*x^9).
%Y A053499 Cf. A000085, A001470, A001472, A053495-A053505, A005388.
%Y A053499 Sequence in context: A062811 A001470 A118932 this_sequence A146909 A146248 
               A074000
%Y A053499 Adjacent sequences: A053496 A053497 A053498 this_sequence A053500 A053501 
               A053502
%K A053499 nonn
%O A053499 0,4
%A A053499 N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000