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A001413 Number of 2n-step polygons on cubic lattice.
(Formerly M5154 N2238)
4
0, 24, 264, 3312, 48240, 762096, 12673920, 218904768, 3891176352, 70742410800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

B. J. Hiley and M. F. Sykes, Probability of initial ring closure in the restricted random-walk model of a macromolecule, J. Chem. Phys., 34 (1961), 1531-1537.

B. D. Hughes, Random Walks and Random Environments, Oxford 1995, vol. 1, p. 462.

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 et al., The number of self-avoiding walks on a lattice, J. Phys. A 5 (1972), 661-666.

LINKS

Table of n, a(n) for n=1..10.

CROSSREFS

Sequence in context: A187380 A000145 A126904 * A022065 A125412 A187048

Adjacent sequences:  A001410 A001411 A001412 * A001414 A001415 A001416

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 18 14:05 EDT 2014. Contains 240720 sequences.