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A001337 Number of n-step polygons on f.c.c. lattice.
(Formerly M5293 N2302)
1
0, 0, 48, 264, 1680, 11640, 86352, 673104, 5424768, 44828400, 377810928, 3235366752, 28074857616, 246353214240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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.

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).

LINKS

Table of n, a(n) for n=1..14.

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

CROSSREFS

Equals 12*A003287(n-1), n>1.

Sequence in context: A223434 A205469 A115056 * A205747 A173121 A215262

Adjacent sequences:  A001334 A001335 A001336 * A001338 A001339 A001340

KEYWORD

nonn,nice,walk,more

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 22 18:50 EDT 2013. Contains 225561 sequences.