2,2

CRC Handbook of Combinatorial Designs, 1996, pp. 113ff.

E. T. Parker, Attempts for orthogonal latin 10-squares, Abstracts Amer. Math. Soc., Vol. 12 1991 #91T-05-27.

S. Hedayat, N. J. A. Sloane and J. Stufken, Orthogonal Arrays, Springer-Verlag, NY, 1999, Chapter 8.

D. Wells, The Penguin Dictionary of Curious and Interesting Numbers, pp. 58 Penguin Books 1997.

Index entries for sequences related to Latin squares and rectangles

Anonymous, Order-10 Greco-Latin square

C. J. Colbourn & J. H. Dinitz, Mutually Orthogonal Latin Squares:A Brief Survey of Constructions

M. Dettinger, Euler's Square

E. Parker-Woodruff, Greco-Latin Squares Problem

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics

R. C. Bose & S. S. Shrikhande, On The Falsity Of Euler's Conjecture About The Non-Existence Of Two Orthogonal Latin Squares Of Order 4t+2

E. T. Parker, Orthogonal Latin Squares

Adjacent sequences: A001435 A001436 A001437 this_sequence A001439 A001440 A001441

Sequence in context: A129708 A071518 A065338 this_sequence A105587 A049073 A076388

nonn,hard,nice

njas

By convention, a(0) = a(1) = infinity. Parker and others conjecture that a(10) = 2. It is also known that a(11) = 10, a(12) >= 5.