Search: id:A002860
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%I A002860 M2051 N0812
%S A002860 1,2,12,576,161280,812851200,61479419904000,108776032459082956800,
%T A002860 5524751496156892842531225600,9982437658213039871725064756920320000,
%U A002860 776966836171770144107444346734230682311065600000
%N A002860 Number of Latin squares of order n; or labeled quasigroups.
%D A002860 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002860 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002860 S. E. Bammel and J. Rothstein, The number of 9x9 Latin squares, Discrete 
               Math., 11 (1975), 93-95.
%D A002860 J. W. Brown, Enumeration of Latin squares with application to order 8, 
               J. Combin. Theory, 5 (1968), 177-184.
%D A002860 J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 
               210.
%D A002860 H. J. Ryser, Combinatorial Mathematics. Mathematical Association of America, 
               Carus Mathematical Monograph 14, 1963, p. 53.
%D A002860 M. B. Wells, The number of Latin squares of order 8, J. Combin. Theory, 
               3 (1967), 98-99.
%D A002860 B. D. McKay and I. M. Wanless, On the number of Latin squares. Preprint 
               2004. http://cs.anu.edu.au/~bdm/papers/ls11.pdf
%H A002860 B. D. McKay and E. Rogoyski, <a href="http://www.combinatorics.org/Volume_2/
               volume2.html#N3">Latin squares of order ten</a>, Electron. J. Combinatorics, 
               2 (1995) #N3.
%H A002860 T. Sillke, <a href="http://www.mathematik.uni-bielefeld.de/~sillke/SEQUENCES/
               series015">How many Latin Squares of order-N are there?</a>
%H A002860 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               LatinSquare.html">Link to a section of The World of Mathematics.</
               a>
%H A002860 <a href="Sindx_La.html#Latin">Index entries for sequences related to 
               Latin squares and rectangles</a>
%H A002860 <a href="Sindx_Qua.html#quasigroups">Index entries for sequences related 
               to quasigroups</a>
%H A002860 B. D. McKay, I. M. Wanless, <a href="http://dx.doi.org/10.1007/s00026-005-0261-7">
               On the number of Latin squares</a>, Ann. Combinat. 9 (2005) 335-344.
%Y A002860 Equals n!*A000479(n) = n!*(n-1)!*A000315(n). Cf. A003090, A040082, A057991.
%Y A002860 Sequence in context: A013147 A050643 A145513 this_sequence A108078 A052129 
               A141770
%Y A002860 Adjacent sequences: A002857 A002858 A002859 this_sequence A002861 A002862 
               A002863
%K A002860 hard,nonn,nice
%O A002860 1,2
%A A002860 N. J. A. Sloane (njas(AT)research.att.com).
%E A002860 One more term (from the McKay-Wanless article) from Richard Bean (rwb(AT)eskimo.com), 
               Feb 17 2004

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