A098846 Number of isomorphism classes of reduced Latin cubes of order n.

1, 1, 1, 19, 1860, 799394226

Offset: 1

Author

N. J. A. Sloane, Nov 03 2004

Keywords

• hard
• nonn
• nice

Comments

There are at least two ways to define Latin cubes - see the Preece et al. paper. - Rosemary Bailey, Nov 03 2004

Links

• B. D. McKay and I. M. Wanless, A census of small latin hypercubes, SIAM J. Discrete Math. 22, (2008) 719-736.
• Gary L. Mullen, and Robert E. Weber, Latin cubes of order <= 5, Discrete Math. 32 (1980), no. 3, 291-297. (Gives a(1)-a(5).)
• D. A. Preece, S. C. Pearce and J. R. Kerr, Orthogonal designs for three-dimensional experiments, Biometrika 60 (1973), 349-358.

Crossrefs

Cf. A098843, A098679, A099321.

Extensions

a(6) from the McKay-Wanless paper, sent by Ian Wanless, Apr 28 2008