A003205 Cluster series for bond percolation problem on f.c.c. lattice. (Formerly M5124)

1, 22, 234, 2348, 22726, 214642, 1993002, 18266276, 165688208

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

Table of n, a(n) for n=0..8.

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.

Index entries for sequences related to f.c.c. lattice

Crossrefs

Cf. A003206 (b.c.c.), A003207 (simple cubic), A003209 (site percolation).

Sequence in context: A010938 A022617 A082205 * A037268 A091783 A213072

Adjacent sequences: A003202 A003203 A003204 * A003206 A003207 A003208

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Name clarified, a(7)-a(8) from Sykes, Gaunt & Glen added by Andrey Zabolotskiy, Feb 02 2022

Status

approved