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A001336 Number of n-step self-avoiding walks on f.c.c. lattice.
(Formerly M4867 N2082)
+0
1
1, 12, 132, 1404, 14700, 152532, 1573716, 16172148, 165697044, 1693773924, 17281929564, 176064704412, 1791455071068, 18208650297396, 184907370618612 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

M. E. Fisher and M. F. Sykes, Excluded-volume problem and the Ising model of ferromagnetism, Phys. Rev. 114 (1959), 45-58.

B. D. Hughes, Random Walks and Random Environments, Oxford 1995, vol. 1, p. 460.

J. L. Martin, M. F. Sykes and F. T. Hioe, Probability of initial ring closure for self-avoiding walks on the face-centered cubic and triangular lattices, J. Chem. Phys., 46 (1967), 3478-3481.

S. McKenzie, Self-avoiding walks on the face-centered cubic lattice, J. Phys. A 12 (1979), L267-L270.

S. Redner, Distribution functions in the interior of polymer chains, J. Phys. A 13 (1980), 3525-3541.

M. F. Sykes, Some counting theorems in the theory of the Ising problem and the excluded volume problem, J. Math. Phys., 2 (1961), 52-62.

LINKS

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

CROSSREFS

Sequence in context: A003495 A165150 A002921 this_sequence A118475 A097826 A010580

Adjacent sequences: A001333 A001334 A001335 this_sequence A001337 A001338 A001339

KEYWORD

nonn,walk,nice

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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