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A002902 Number of n-step self-avoiding walks on cubic lattice.
(Formerly M2990 N1210)
4
3, 15, 75, 363, 1767, 8463, 40695, 193983, 926943, 4404939, 20967075, 99421371, 471987255, 2234455839, 10587573027, 50060937987, 236865126051, 1118861842047, 5288016609807, 24958663919367, 117855045251079, 555890991721203, 2622994107595707 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

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

D. S. McKenzie and C. Domb, The second osmotic virial coefficient of athermal polymer solutions, Proceedings of the Physical Society, 92 (1967) 632-649.

A. M. Nemirovsky et al., Marriage of exact enumeration and 1/d expansion methods: lattice model of dilute polymers, J. Statist. Phys., 67 (1992), 1083-1108.

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, Self-avoiding walks on the simple cubic lattice, J. Chem. Phys., 39 (1963), 410-411.

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

CROSSREFS

Equals (1/2)*A001412. Cf. A078717, A001411, A001413.

Sequence in context: A190010 A151326 A063000 * A005053 A183411 A136778

Adjacent sequences:  A002899 A002900 A002901 * A002903 A002904 A002905

KEYWORD

nonn,walk,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 08:44 EST 2012. Contains 205998 sequences.