1,4

Here "isotopy class" means an equivalence class of Latin squares under the operations of row permutation, column permutation and symbol permutation. [Brendan McKay]

J. W. Brown, Enumeration of Latin squares with application to order 8, J. Combin. Theory, 5 (1968), 177-184.

R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research. 6th ed., Hafner, NY, 1963, p. 22.

G. Kolesova, C. W. H. Lam and L. Thiel, On the number of 8x8 Latin squares, J. Combin. Theory,(A) 54 (1990) 143-148.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 210.

M. B. Wells, The number of Latin squares of order 8, J. Combin. Theory, 3 (1967), 98-99.

B. D. McKay, Latin Squares (has list of all such squares)

B. D. McKay and E. Rogoyski, Latin squares of order ten, Electron. J. Combinatorics, 2 (1995) #N3.

Index entries for sequences related to Latin squares and rectangles

B. D. McKay, A. Meynert and W. Myrvold, Small Latin Squares, Quasigroups and Loops, J. Combin. Designs, to appear (2005).

Eric Weisstein's World of Mathematics, Latin Square

Cf. A002860, A003090, A000315. See A000528 for another version.

Sequence in context: A118326 A087405 A001012 this_sequence A014358 A093355 A122962

Adjacent sequences: A040079 A040080 A040081 this_sequence A040083 A040084 A040085

nonn,hard,nice

njas

7 X 7 and 8 X 8 results confirmed by Brendan McKay (bdm(AT)cs.anu.edu.au)

Beware: erroneous versions of this sequence can be found in the literature!

Two more terms (from the McKay-Meynert-Myrvold article) from Richard Bean (rwb(AT)eskimo.com), Feb 17 2004