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Number of nonisomorphic cube tilings of dimension n which can be constructed using the recipe presented at the beginning of Section 3 of the Lagarias-Shor paper.
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%I #11 May 10 2019 16:06:20

%S 1,2,3,7,22,95

%N Number of nonisomorphic cube tilings of dimension n which can be constructed using the recipe presented at the beginning of Section 3 of the Lagarias-Shor paper.

%C A weak lower bound for a(8) is 404.

%C It appears that there is exactly one trivial tiling in each dimension. If so, and this tiling is excluded, we get a sequence which potentially matches two existing sequences in the OEIS.

%H J. C. Lagarias and P. W. Shor, <a href="http://math.mit.edu/~shor/papers/cube-tilings.pdf">Cube-tilings of R^n and nonlinear codes</a>, preprint, 1993.

%H J. C. Lagarias and P. W. Shor, <a href="https://doi.org/10.1007/BF02574014">Cube-tilings of R^n and nonlinear codes</a>, Discrete and Computational Geometry, Vol. 11, pp. 359-391, 1994.

%K nonn,hard,more

%O 2,2

%A _Peter Shor_, Jul 30 2009