login
This site is supported by donations to The OEIS Foundation.
Logo

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A151832 Number of fixed 6-dimensional polycubes with n cells. 1
1, 6, 66, 901, 13881, 231008, 4057660, 74174927, 1398295989, 27012396022, 532327974882, 10665521789203, 227093585071305, 4455636282185802, 92567760074841818 (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.

G. Aleksandrowicz and G. Barequet, Parallel enumeration of lattice animals, Proc. 5th Int. Frontiers of Algorithmics Workshop, Zhejiang, China, Lecture Notes in Computer Science, 6681, Springer-Verlag, 90-99, May 2011.

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

Anthony J. Guttmann, editor. Polygons, Polyominoes and Polycubes, volume 775 of Lecture Notes in Physics. Springer-Verlag, Heidelberg, 2009. [Jonathan Vos Post, Oct 10 2011]

D.S. Gaunt and P.J. Peard. 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers. Journal of Physics A: Mathematical and General, 33 (2000) 7515-7539. [Jonathan Vos Post, Oct 10 2011]

S. Luther and S. Mertens, Counting lattice animals in high dimensions,

Journal of Statistical Mechanics: Theory and Experiment, 2011 (9), 546-565.

LINKS

J. Adler, Y. Meir, A.B. Harris, A. Aharony, and J.A.M.S. Duarte. Series study of random animals in general dimensions Physical Review B, 38 (1988) 4941.

G. Aleksandrowicz and G. Barequet, Counting polycubes without the dimensionality curse, Discrete Mathematics, 309 (2009), 4576-4583.

Hsiao-Ping Hsu, Walter Nadler, and Peter Grassberger. Statistics of lattice animals. Computer Physics Communications, 169 (2005) 114-116.

Iwan Jensen. Enumerations of lattice animals and treesJournal of Statistical Physics, 102(3/4) (2001) 865-881.

S. Luther and S. Mertens, Counting lattice animals in high dimensions, arXiv:1106.1078

Stephan Mertens and Markus E. Lautenbacher. Counting lattice animals: A parallel attack J. Stat. Phys. 66 (1992) 669

CROSSREFS

Cf. A001931, A151830-A151835.

Sequence in context: A124862 A130977 A191096 * A133306 A169715 A128319

Adjacent sequences:  A151829 A151830 A151831 * A151833 A151834 A151835

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jul 12 2009

EXTENSIONS

a(10) from Gadi Aleksandrowicz (gadial(AT)gmail.com), Mar 21 2010

a(11)-a(15) from Luther and Mertens by Gill Barequet (barequet(AT)cs.technion.ac.il), Jun 12 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified February 14 14:07 EST 2012. Contains 205623 sequences.