Search: id:A133118
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%I A133118
%S A133118 60,315,2268,14742,72180,464640,2676366,16400098,94209206,673282610,
%T A133118 4095231104,29371828846,197547348216,1513916607683,10904464442572,
%U A133118 87070803499372,673555061736062
%N A133118 Number of partitions of n-set with 3 block sizes.
%F A133118 We obtain e.g.f. for number of partitions of n-set with m block sizes 
               if we substitute x(i) with -Sum_{k>0} ((1-exp(x^k/k!))^i in cycle 
               index Z(S(m); x(1),x(2),..,x(n)) of symmetric group S(m) of degree 
               m.
%Y A133118 Cf. A038041, A088142, A122404, A005225, A005772.
%Y A133118 Sequence in context: A063497 A096363 A033591 this_sequence A092478 A024184 
               A119631
%Y A133118 Adjacent sequences: A133115 A133116 A133117 this_sequence A133119 A133120 
               A133121
%K A133118 easy,more,nonn
%O A133118 6,1
%A A133118 Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 18 2007

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