A003208 Cluster series for bond percolation problem on diamond.

1, 6, 18, 54, 162, 456, 1302, 3630, 10158, 27648, 77022, 206508, 570072, 1521822

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• more

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.
• Index entries for sequences related to diamond structure

Crossrefs

Cf. A003205 (f.c.c.), A003206 (b.c.c.), A003207 (simple cubic), A003212 (site percolation).

Extensions

Name clarified, a(12)-a(13) from Sykes, Gaunt & Glen added by Andrey Zabolotskiy, Feb 02 2022