1,2

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 cobe and Latin square. a(4) and L5(4) computed on Dec 1 2002.

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.

Equals n*(n-1)!^5*L5(n) L5(n) is number of reduced Latin 5-dimensional hypercubes (Latin polyhedra) of order n.

4*(4-1)!^5*L5(4) = 6268637952000 where L5(4) = 201538000

Sequence in context: A036980 A091810 A057528 this_sequence A138082 A139884 A042151

Adjacent sequences: A132203 A132204 A132205 this_sequence A132207 A132208 A132209

hard,nonn

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