The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A003090

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A003090

Number of species (or "main classes" or "paratopy classes") of Latin squares of order n.
(history; published version)

#55 by Alois P. Heinz at Sun Feb 02 19:55:51 EST 2020

STATUS

proposed

approved

#54 by Jon E. Schoenfield at Sun Feb 02 18:42:45 EST 2020

STATUS

editing

proposed

#53 by Jon E. Schoenfield at Sun Feb 02 18:42:43 EST 2020

LINKS

A. Hulpke, P. Kaski and P. Patric R. J. Ostergard, Östergård, <a href="http://dx.doi.org/10.1090/S0025-5718-2010-02420-2">The number of Latin squares of order 11</a>, Math. Comp. 80 (2011) 1197-1219

B. Brendan D. McKay, <a href="http://users.cecs.anu.edu.au/~bdm/data/latin.html">Latin Squares</a> (has list of all such squares)

B. Brendan D. McKay, A. Meynert and W. Myrvold, <a href="http://users.cecs.anu.edu.au/~bdm/papers/ls_final.pdf">Small Latin Squares, Quasigroups and Loops</a>, J. Combin. Designs, 15 (2007), no. 2, 98-119.

B. Brendan D. McKay and E. Rogoyski, <a href="http://www.combinatorics.org/ojs/index.php/eljc/article/view/v2i1n3">Latin squares of order ten</a>, Electron. J. Combinatorics, 2 (1995) #N3.

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#52 by N. J. A. Sloane at Tue Jul 09 13:05:03 EDT 2019

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proposed

approved

#51 by Michel Marcus at Tue Jul 09 11:32:28 EDT 2019

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editing

proposed

#50 by Michel Marcus at Tue Jul 09 11:32:26 EDT 2019

LINKS

Giancarlo Urzua, <a href="http://arXiv.org/abs/0704.0469">On line arrangements with applications to 3-nets</a>. , arXiv:0704.0469 [math.AG], 2007-2009 (see page 9).

STATUS

proposed

editing

#49 by Michael De Vlieger at Tue Jul 09 11:26:33 EDT 2019

STATUS

editing

proposed

#48 by Michael De Vlieger at Tue Jul 09 11:26:31 EDT 2019

LINKS

Yue Guan, Minjia Shi, Denis S. Krotov, <a href="https://arxiv.org/abs/1905.09081">The Steiner triple systems of order 21 with a transversal subdesign TD(3,6)</a>, arXiv:1905.09081 [math.CO], 2019.

STATUS

approved

editing

#47 by Bruno Berselli at Fri Mar 29 06:31:24 EDT 2019

STATUS

proposed

approved

#46 by Michel Marcus at Fri Mar 29 05:59:10 EDT 2019

STATUS

editing

proposed