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A001337 Number of n-step polygons on f.c.c. lattice.
(Formerly M5293 N2302)
+0
2
0, 0, 48, 264, 1680, 11640, 86352, 673104, 5424768, 44828400, 377810928, 3235366752, 28074857616, 246353214240 (list; graph; listen)
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.

LINKS

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

CROSSREFS

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

Sequence in context: A100146 A052683 A115056 this_sequence A097639 A134607 A037056

Adjacent sequences: A001334 A001335 A001336 this_sequence A001338 A001339 A001340

KEYWORD

nonn,nice,walk

AUTHOR

njas

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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