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A001336 Number of n-step self-avoiding walks on f.c.c. lattice.
(Formerly M4867 N2082)
6
1, 12, 132, 1404, 14700, 152532, 1573716, 16172148, 165697044, 1693773924, 17281929564, 176064704412, 1791455071068, 18208650297396, 184907370618612 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

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.

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

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

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

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

Unknown author, Tables of self-avoiding walks, [Annotated scanned copy. Unfortunately the author and title of this document have been mislaid]

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

CROSSREFS

Sequence in context: A165150 A002921 A199941 * A118475 A190873 A097826

Adjacent sequences:  A001333 A001334 A001335 * A001337 A001338 A001339

KEYWORD

nonn,walk,nice

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 21 14:23 EST 2018. Contains 299414 sequences. (Running on oeis4.)