%I A034891
%S A034891 1,2,3,4,6,8,11,14,18,23,29,36,45,55,67,81,98,117,140,166,196,231,271,
%T A034891 317,369,429,496,573,660,758,869,993,1133,1290,1465,1662,1881,2125,
%U A034891 2397,2699,3035,3407,3820,4276,4780,5337,5951,6628,7372,8191,9090
%N A034891 Number of different products of partitions of n; partitions of n into 
               prime parts (1 included); number of distinct orders of Abelian subgroups 
               of symmetric group S_n.
%H A034891 T. D. Noe, <a href="b034891.txt">Table of n, a(n) for n=1..1000</a>
%F A034891 G.f.: (1/(1-x))*(1/Product_{k>0} (1-x^prime(k))). a(n) = (1/n)*Sum_{k=1..n} 
               A074372(k)*a(n-k). Partial sums of A000607. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Sep 19 2002
%t A034891 Table[ Length[ Union[ Apply[ Times, Partitions[ n ], 1 ] ] ], {n, 30} 
               ]
%Y A034891 Cf. A000792, A000793, A009490.
%Y A034891 Sequence in context: A134953 A114829 A007279 this_sequence A143611 A062464 
               A053270
%Y A034891 Adjacent sequences: A034888 A034889 A034890 this_sequence A034892 A034893 
               A034894
%K A034891 nonn,easy,nice
%O A034891 1,2
%A A034891 Wouter Meeussen (wouter.meeussen(AT)pandora.be)
%E A034891 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs)