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

1, 1, 1, 19, 1860, 799394226

Offset

1,4

Comments

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

Links

Table of n, a(n) for n=1..6.

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.

Sequence in context: A289736 A180394 A220990 * A116012 A203704 A087353

Adjacent sequences: A098843 A098844 A098845 * A098847 A098848 A098849

Keyword

hard,nonn,nice

Author

N. J. A. Sloane, Nov 03 2004

Extensions

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

Status

approved