Search: id:A001470
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%I A001470 M2782 N1118
%S A001470 1,1,1,3,9,21,81,351,1233,5769,31041,142011,776601,4874013,
%T A001470 27027729,168369111,1191911841,7678566801,53474964993,418199988339,
%U A001470 3044269834281,23364756531621,199008751634001,1605461415071823
%N A001470 Number of degree-n permutations of order dividing 3.
%D A001470 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001470 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001470 L. Moser and M. Wyman, On solutions of x^d = 1 in symmetric groups, Canad. 
               J. Math., 7 (1955), 159-168.
%D A001470 R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see 
               Example 5.2.10.
%H A001470 T. D. Noe, <a href="b001470.txt">Table of n, a(n) for n=0..100</a>
%F A001470 a(n) = Sum from j=0 to Int(n/3) of n!/(j!*(n-3j)!*(3^j)) (the latter 
               formula from Roger CUCULIERE, cuculier(AT)sophocle.imaginet.fr)
%F A001470 E.g.f.: exp(x+1/3*x^3).
%F A001470 a(n)= a(n-1)+(n-1)*(n-2)*a(n-3) [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), 
               Feb 03 2009]
%Y A001470 Cf. A000085, A001472.
%Y A001470 Sequence in context: A004667 A073947 A062811 this_sequence A118932 A053499 
               A146909
%Y A001470 Adjacent sequences: A001467 A001468 A001469 this_sequence A001471 A001472 
               A001473
%K A001470 easy,nonn,nice
%O A001470 0,4
%A A001470 N. J. A. Sloane (njas(AT)research.att.com), J. H. Conway and Simon Plouffe 
               (simon.plouffe(AT)gmail.com)

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