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A001666 Number of n-step self-avoiding walks on b.c.c. lattice.
(Formerly M4545 N1929)
2
1, 8, 56, 392, 2648, 17960, 120056, 804824, 5351720, 35652680, 236291096, 1568049560, 10368669992, 68626647608, 453032542040, 2992783648424 (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.

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.

M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653-660.

LINKS

Table of n, a(n) for n=0..15.

A. J. Guttmann, On the critical behavior of self-avoiding walks II, J. Phys. A 22 (1989), 2807-2813. See Table 1.

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

CROSSREFS

Cf. A002903.

Sequence in context: A092521 A156088 A002914 * A214942 A010556 A010575

Adjacent sequences:  A001663 A001664 A001665 * A001667 A001668 A001669

KEYWORD

nonn,walk,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 25 13:56 EDT 2017. Contains 285414 sequences.