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A003206 Cluster series for bond percolation problem on b.c.c. lattice.
(Formerly M4937)
4
1, 14, 98, 650, 4202, 26162, 163154, 984104, 6015512, 35540288 (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.
M. F. Sykes, D. S. Gaunt and M. Glen, Percolation processes in three dimensions, J. Phys. A: Math. Gen., 9 (1976), 1705-1712.
CROSSREFS
Cf. A003205 (f.c.c.), A003207 (simple cubic), A003210 (site percolation).
Sequence in context: A296987 A008534 A008415 * A206257 A101376 A174614
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Name clarified, a(9) from Sykes, Gaunt & Glen added by Andrey Zabolotskiy, Feb 02 2022
STATUS
approved

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Last modified March 19 06:25 EDT 2024. Contains 370953 sequences. (Running on oeis4.)