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A003211 Cluster series for cubic lattice.
(Formerly M4192)
5
1, 6, 30, 114, 438, 1542, 5754, 19574, 71958, 233574, 870666, 2696274, 10375770, 30198116, 122634404, 327024444, 1460721616, 3347244554, 17795165832 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
J. W. Essam, Percolation and cluster size, in C. Domb and M. S. Green, Phase Transitions and Critical Phenomena, Ac. Press 1972, Vol. 2; see especially pp. 225-226.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
John Adler, Series Expansions, Computers in Physics, 8 (1994), 287-295.
S. Luther and S. Mertens, Counting lattice animals in high dimensions, Journal of Statistical Mechanics: Theory and Experiment, 2011 (9), 546-565; arXiv:1106.1078 [cond-mat.stat-mech], 2011. See Table 5.
Stephan Mertens, Lattice Animals
M. F. Sykes and J. W. Essam, Critical percolation probabilities by series methods, Phys. Rev., 133 (1964), A310-A315.
CROSSREFS
Cf. A003209 (f.c.c.), A003210 (b.c.c.), A003212 (diamond), A003207 (bond percolation).
Sequence in context: A225382 A245804 A292296 * A334331 A117489 A050510
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
a(9)-a(12) from Sean A. Irvine, Aug 19 2020
a(13)-a(18) from Luther & Mertens added by Andrey Zabolotskiy, Feb 02 2022
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)