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A151835 Number of fixed 9-dimensional polycubes with n cells. 6
1, 9, 153, 3309, 81837, 2205489, 63113061, 1887993993, 58441956579, 1858846428437, 60445700665383, 2001985304489169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(1)-a(10) can be computed by formulas in Barequet et al. (2010).  Luther and Mertens confirm these values (and add two more) by direct counting.

REFERENCES

G. Aleksandrowicz and G. Barequet, Counting d-dimensional polycubes and nonrectangular planar polyominoes, Int. J. of Computational Geometry and Applications, 19 (2009), 215-229.

Gill Barequet, Solomon W. Golomb, and David A. Klarner, Polyominoes. (This is a revision, by G. Barequet, of the chapter of the same title originally written by the late D. A. Klarner for the first edition, and revised by the late S. W. Golomb for the second edition.) Preprint, 2016, http://www.csun.edu/~ctoth/Handbook/chap14.pdf

R. Barequet, G. Barequet, and G. Rote, Formulae and growth rates of high-dimensional polycubes, Combinatorica, 30 (2010), 257-275.

S. Luther and S. Mertens, Counting lattice animals in high dimensions, Journal of Statistical Mechanics: Theory and Experiment, 2011 (9), 546-565.

LINKS

Table of n, a(n) for n=1..12.

CROSSREFS

Cf. A001931, A151830-A151834.

Sequence in context: A130980 A133309 A228713 * A217822 A217823 A113391

Adjacent sequences:  A151832 A151833 A151834 * A151836 A151837 A151838

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Jul 12 2009

EXTENSIONS

a(5)-a(12) from Luther and Mertens by Gill Barequet, Jun 12 2011

STATUS

approved

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Last modified February 22 05:17 EST 2019. Contains 320385 sequences. (Running on oeis4.)