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A001336 Number of n-step self-avoiding walks on f.c.c. lattice.
(Formerly M4867 N2082)
9

%I M4867 N2082

%S 1,12,132,1404,14700,152532,1573716,16172148,165697044,1693773924,

%T 17281929564,176064704412,1791455071068,18208650297396,

%U 184907370618612,1876240018679868

%N Number of n-step self-avoiding walks on f.c.c. lattice.

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

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

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

%H M. E. Fisher and M. F. Sykes, <a href="http://dx.doi.org/10.1103/PhysRev.114.45">Excluded-volume problem and the Ising model of ferromagnetism</a>, Phys. Rev. 114 (1959), 45-58.

%H B. D. Hughes, Random Walks and Random Environments, vol. 1, Oxford 1995, <a href="/A001334/a001334.pdf">Tables and references for self-avoiding walks counts</a> [Annotated scanned copy of several pages of a preprint or a draft of chapter 7 "The self-avoiding walk"]

%H J. L. Martin, M. F. Sykes and F. T. Hioe, <a href="http://dx.doi.org/10.1063/1.1841242">Probability of initial ring closure for self-avoiding walks on the face-centered cubic and triangular lattices</a>, J. Chem. Phys., 46 (1967), 3478-3481.

%H S. McKenzie, <a href="https://doi.org/10.1088/0305-4470/12/10/005">Self-avoiding walks on the face-centered cubic lattice</a>, J. Phys. A 12 (1979), L267-L270.

%H S. Redner, <a href="http://physics.bu.edu/~redner/pubs/pdf/jpa13p3525.pdf">Distribution functions in the interior of polymer chains</a>, J. Phys. A 13 (1980), 3525-3541, doi:10.1088/0305-4470/13/11/023.

%H M. F. Sykes, <a href="http://dx.doi.org/10.1063/1.1724212">Some counting theorems in the theory of the Ising problem and the excluded volume problem</a>, J. Math. Phys., 2 (1961), 52-62.

%H <a href="/index/Fa#fcc">Index entries for sequences related to f.c.c. lattice</a>

%Y Cf. A001411, A001412, A001334, A001666, A001337.

%K nonn,walk,nice,more

%O 0,2

%A _N. J. A. Sloane_

%E a(15) from _Bert Dobbelaere_, Jan 13 2019

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Last modified April 19 10:45 EDT 2019. Contains 322255 sequences. (Running on oeis4.)