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A001931 Number of fixed 3-dimensional polycubes with n cells; lattice animals in the simple cubic lattice (6 nearest neighbors), face-connected cubes.
(Formerly M2996 N1213)
8
1, 3, 15, 86, 534, 3481, 23502, 162913, 1152870, 8294738, 60494549, 446205905, 3322769321, 24946773111, 188625900446, 1435074454755, 10977812452428, 84384157287999, 651459315795897 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

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.

W. F. Lunnon, Symmetry of cubical and general polyominoes, pp. 101-108 of R. C. Read, editor, Graph Theory and Computing. Academic Press, NY, 1972.

S. Luther and S. Mertens, Counting lattice animals in high dimensions, http://arxiv.org/abs/1106.1078

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

D. H. Redelmeier, personal communication (with N. J. A. Sloane).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Kevin L. Gong, Polyominoes Home Page

CROSSREFS

Cf. A000162, A001420, A151830-A151835.

Sequence in context: A127085 A093615 A191148 * A180677 A075841 A152596

Adjacent sequences:  A001928 A001929 A001930 * A001932 A001933 A001934

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Edited by Arun Giridhar (agiridha(AT)ecn.purdue.edu), Feb 14 2011

a(17) from Achim Flammenkamp (achim(AT)uni-bielefeld.de) Feb 15 1999.

a(18) from the Aleksandrowicz and Barequet paper (N. J. A. Sloane, Jul 09 2009)

a(19) from Luther and Mertens by Gill Barequet (barequet(AT)cs.technion.ac.il), Jun 12 2011

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.