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A098846 Number of isomorphism classes of reduced Latin cubes of order n. 4
1, 1, 1, 19, 1860, 799394226 (list; graph; refs; listen; history; internal format)
OFFSET

1,4

COMMENTS

There are at least two ways to define Latin cubes - see the Preece et al. paper. - Rosemary Bailey, Nov 03, 2004

REFERENCES

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. (Gives a(1)-a(5).)

D. A. Preece, S. C. Pearce and J. R. Kerr: Orthogonal designs for three-dimensional experiments, Biometrika 60 (1973), 349-358.

CROSSREFS

Cf. A098843, A098679, A099321.

Sequence in context: A054949 A068748 A180394 * A116012 A203704 A087353

Adjacent sequences:  A098843 A098844 A098845 * A098847 A098848 A098849

KEYWORD

hard,nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 03 2004

EXTENSIONS

a(6) from the McKay-Wanless paper, sent by Ian Wanless, Apr 28 2008

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Last modified February 15 16:48 EST 2012. Contains 205823 sequences.