1,4

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

B. D. McKay and I. M. Wanless, A census of small latin hypercubes, SIAM J. Discrete Math. 22, (2008) 719-736.

Mullen, Gary L.; and Weber, Robert E., 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.

Cf. A098843, A098679, A099321.

Sequence in context: A002115 A054949 A068748 this_sequence A116012 A087353 A055415

Adjacent sequences: A098843 A098844 A098845 this_sequence A098847 A098848 A098849

hard,nonn,nice

N. J. A. Sloane (njas(AT)research.att.com), Nov 03 2004

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