1,4

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

T. Ito, Method for producing Latin squares, Publication number JP2000-28510A, Japan Patent Office.

T. Ito, Method for producing Latin squares, JP3394467B, Patent abstracts of Japan,Japan Patent Office.

Jia, Xiong Wei and Qin, Zhong Ping, The number of Latin cubes and their isotopy classes, J. Huazhong Univ. Sci. Tech. 27 (1999), no. 11, 104-106. MathSciNet #MR1751724.

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. A098846 (isomorphism classes), A098679 (total number), A099321 (isotopy classes).

Adjacent sequences: A098840 A098841 A098842 this_sequence A098844 A098845 A098846

Sequence in context: A052200 A009497 A013743 this_sequence A141092 A016830 A103346

hard,nonn,nice

njas, based on correspondence from Toru Ito (t_ito(AT)mue.biglobe.ne.jp), Nov 03 2004

a(6) computed independently by Brendan McKay and Ian Wanless. Dec 17 2004.