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 A132206 Total number of Latin 5-dimensional hypercubes (Latin polyhedra) of order n. 5
 1, 2, 96, 6268637952000, 2010196727432478720 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS L5(1) = 1, L5(2) = 1, L5(3) = 1, L5(4) = 201538000 L5(1)~l5(4) are Number of reduced Latin 5-dimensional hypercubes (Latin polyhedra) of order n. Latin 5-dimensional hypercubes (Latin polyhedra) are a generalization of Latin cube and Latin square. a(4) and L5(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). B. D. McKay and I. M. Wanless, A census of small latin hypercubes, SIAM J. Discrete Math. 22, (2008) 719-736. Kenji Ohkuma, Atsuhiro Yamagishi and Toru Ito, Cryptography Research Group Technical report, IT Security Center, Information-Technology Promotion Agency, JAPAN. LINKS FORMULA Equals n*(n-1)!^5*L5(n), where L5(n) is number of reduced Latin 5-dimensional hypercubes (Latin polyhedra) of order n (cf. A132205). EXAMPLE 4*(4-1)!^5*L5(4) = 6268637952000 where L5(4) = 201538000 CROSSREFS Cf. A100540, A132205. A row of the array in A249026. Sequence in context: A057528 A224986 A164335 * A139884 A297423 A189313 Adjacent sequences:  A132203 A132204 A132205 * A132207 A132208 A132209 KEYWORD nonn,more AUTHOR Toru Ito (to-itou(AT)ipa.go.jp), Nov 06 2007 EXTENSIONS a(5) from Ian Wanless, May 01 2008 Edited by N. J. A. Sloane, Dec 05 2009 at the suggestion of Vladeta Jovovic STATUS approved

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Last modified June 16 11:12 EDT 2019. Contains 324152 sequences. (Running on oeis4.)