A099321 Number of isotopy classes of Latin cubes of order n.

1, 1, 1, 12, 59, 5678334

Offset: 1

Author

Brendan McKay and Weifa Liang (wliang(AT)users.cecs.anu.edu.au), Nov 18 2004

Keywords

• hard
• nonn

References

• 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.

Crossrefs

Cf. A098843, A098679, A098846.

Extensions

Corrected and extended to a(6) by Brendan McKay and Ian Wanless, Apr 28 2008