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

1, 1, 1, 12, 59, 5678334

Offset

1,4

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.

Links

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

Crossrefs

Cf. A098843, A098679, A098846.

Sequence in context: A048362 A231215 A231340 * A097302 A075367 A359419

Adjacent sequences: A099318 A099319 A099320 * A099322 A099323 A099324

Keyword

hard,nonn

Author

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

Extensions

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

Status

approved