A132205 Number of reduced Latin 5-dimensional hypercubes (Latin polyhedra) of order n.

1, 1, 1, 201538000, 50490811256

Offset: 1

Author

Toru Ito (to-itou(AT)ipa.go.jp), Nov 06 2007

Keywords

• nonn
• hard
• more

Comments

Latin 5-dimensional hypercubes (Latin polyhedra) are a generalization of Latin cube and Latin square. a(4) computed on Dec 01 2002.

References

• T. Ito, Method, equipment, program and storage media for producing tables, Publication number JP2004-272104A, Japan Patent Office (written in Japanese).
• Kenji Ohkuma, Atsuhiro Yamagishi and Toru Ito, Cryptography Research Group Technical report, IT Security Center, Information-Technology Promotion Agency, JAPAN.

Links

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

Crossrefs

Cf. A100540, A132206.

Extensions

a(5) from Ian Wanless, May 01 2008

Edited by N. J. A. Sloane, Dec 05 2009 at the suggestion of Vladeta Jovovic