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%I A079265
%S A079265 1,2,7,32,192,1490,15067,198296,3398105,75734592,2191591226,82178300654,
%T A079265 3984499220967,249298391641352,20089200308020179,2081351202770089728
%N A079265 Number of antisymmetric transitive binary relations on n unlabeled points.
%C A079265 Also, number of unconstrained mixed models with n factors.
%C A079265 [ a(13)-a(15) are from Brinkmann's and McKay's paper ] - Vladeta Jovovic 
               (vladeta(AT)eunet.rs), Jan 04 2006
%D A079265 Gunnar Brinkmann and Brendan D. McKay, Counting Unlabeled Topologies 
               and Transitive Relations, Journal of Integer Sequences, Vol. 8 (2005), 
               Article 05.2.1.
%D A079265 A. Hess and H. Iyer, Enumeration of mixed linear models and SAS macro 
               for computation of confidence intervals for variance components, 
               presented at Applied Statistics in Agriculture Conference at Kansas 
               State University 2001. See also C. R. Acad. Sci. Paris, Vol. 313, 
               series I, pp. 417-420, 1991.
%H A079265 R. Bayon, N. Lygeros and J.-S. Sereni, <a href="http://www.math.nthu.edu.tw/
               ~amen/2005/040909-2.pdf">New progress in enumeration of mixed models</
               a>, Applied Mathematics E-Notes, 5 (2005), 60-65.
%H A079265 R. Bayon, N. Lygeros and J.-S. Sereni, <a href="http://www-sop.inria.fr/
               mascotte/personnel/Jean-Sebastien.Sereni/Articles/BLS03.pdf">Nouveaux 
               progr\`es dans l'\'enum\'eration des mod\`eles mixtes</a>, in Knowledge 
               discovery and discrete mathematics : JIM'2003, INRIA, Universit\'e 
               de Metz, France, 2003, pp. 243-246.
%H A079265 Gunnar Brinkmann and Brendan D. McKay, <a href="http://cs.anu.edu.au/
               ~bdm/papers/topologies.pdf">Counting unlabeld topologies and transitive 
               relations</a>.
%H A079265 Ann Marie Hess, <a href="http://www.stat.colostate.edu/~hess/MixedModels.htm">
               Mixed Models Site</a>
%H A079265 G. Pfeiffer, <a href="http://schmidt.nuigalway.ie/~goetz/pub/posetseq.html">
               Counting Transitive Relations</a>, preprint, 2004.
%H A079265 G. Pfeiffer, <a href="http://www.cs.uwaterloo.ca/journals/JIS/">Counting 
               Transitive Relations</a>, Journal of Integer Sequences, Vol. 7 (2004), 
               Article 04.3.2.
%Y A079265 Cf. A000112 (partial orders), A091073 (transitive relations), A001930 
               (quasi-orders), A085628 (labeled antisymmetric transitive relations).
%Y A079265 Cf. A079263, A006126, A006602, A006896-A006898.
%Y A079265 Sequence in context: A006154 A000987 A006957 this_sequence A112006 A067551 
               A080119
%Y A079265 Adjacent sequences: A079262 A079263 A079264 this_sequence A079266 A079267 
               A079268
%K A079265 nonn,hard,nice
%O A079265 0,2
%A A079265 N. J. A. Sloane (njas(AT)research.att.com), Feb 16 2003
%E A079265 New description and a(10)-a(12) from Goetz Pfeiffer (goetz.pfeiffer(AT)nuigalway.ie), 
               Jan 21 2004
%E A079265 More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 04 2006

    
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