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A003207 Cluster series for bond percolation problem on cubic lattice.
(Formerly M4708)
7
1, 10, 50, 238, 1114, 4998, 22562, 98174, 434894, 1855346, 8125390, 34149330 (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
M. F. Sykes and J. W. Essam, Critical percolation probabilities by series methods, Phys. Rev., 133 (1964), A310-A315.
Stephan Mertens, Lattice Animals
Stephan Mertens and Cristopher Moore, Series expansion of the percolation threshold on hypercubic lattices, J. Phys. A: Math. Theor., 51 (2018), 475001; arXiv:1805.02701 [cond-mat.stat-mech], 2018. See Appendix B.
CROSSREFS
Cf. A003211 (site percolation), A003198 (square lattice).
Sequence in context: A201830 A192019 A201210 * A095687 A204272 A220149
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Name clarified, a(10)-a(11) computed from Mertens & Moore's data 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.)