A003198 - OEIS

A003198

Cluster series for bond percolation problem on square lattice.
(Formerly M4118)

1, 6, 18, 48, 126, 300, 762, 1668, 4216, 8668, 21988, 43058, 110832, 202432, 561020

(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

Table of n, a(n) for n=0..14.

M. F. Sykes and J. W. Essam, Critical percolation probabilities by series methods, Phys. Rev., 133 (1964), A310-A315.

M. F. Sykes and M. Glen, Percolation processes in two dimensions. I. Low-density series expansions, J. Phys. A: Math. Gen., 9 (1976), 87-95.

Index entries for sequences related to square lattice

CROSSREFS

Cf. A003197 (hexagonal), A003199 (honeycomb), A003207 (cubic), A003203 (site percolation).

Sequence in context: A256010 A128543 A003202 * A099857 A163765 A179754

Adjacent sequences: A003195 A003196 A003197 * A003199 A003200 A003201

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

Name clarified, a(12)-a(14) from Sykes & Glen added by Andrey Zabolotskiy, Feb 02 2022

STATUS

approved