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A003197 Cluster series for hexagonal lattice.
(Formerly M4705)
0
1, 10, 46, 186, 706, 2568, 9004, 30894, 103832, 343006 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

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).

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

LINKS

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

CROSSREFS

Sequence in context: A085437 A024166 A103501 * A096045 A183133 A115712

Adjacent sequences:  A003194 A003195 A003196 * A003198 A003199 A003200

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.