A003199 Cluster series for bond percolation problem on honeycomb. (Formerly M3331)

1, 4, 8, 16, 32, 54, 100, 182, 328, 494, 984, 1572, 2656, 4212, 8162, 11176, 21704, 30994, 60548

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..18.

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 honeycomb

Crossrefs

Cf. A003197 (hexagonal), A003198 (square), A003204 (site percolation).

Sequence in context: A331967 A301147 A131649 * A189925 A007096 A298356

Adjacent sequences: A003196 A003197 A003198 * A003200 A003201 A003202

Keyword

nonn,more

Author

N. J. A. Sloane

Extensions

Name clarified, a(15)-a(18) from Sykes & Glen added by Andrey Zabolotskiy, Feb 02 2022

Status

approved