

A002902


Number of nstep selfavoiding walks on a cubic lattice with a first step along the positive x, y, or z axis.
(Formerly M2990 N1210)


5



3, 15, 75, 363, 1767, 8463, 40695, 193983, 926943, 4404939, 20967075, 99421371, 471987255, 2234455839, 10587573027, 50060937987, 236865126051, 1118861842047, 5288016609807, 24958663919367, 117855045251079, 555890991721203, 2622994107595707
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OFFSET

1,1


REFERENCES

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).


LINKS

Table of n, a(n) for n=1..23.
D. S. McKenzie and C. Domb, The second osmotic virial coefficient of athermal polymer solutions, Proceedings of the Physical Society, 92 (1967) 632649.
A. M. Nemirovsky et al., Marriage of exact enumeration and 1/d expansion methods: lattice model of dilute polymers, J. Statist. Phys., 67 (1992), 10831108.
M. F. Sykes, Selfavoiding walks on the simple cubic lattice, J. Chem. Phys., 39 (1963), 410411.
M. F. Sykes et al., The asymptotic behavior of selfavoiding walks and returns on a lattice, J. Phys. A 5 (1972), 653660.


CROSSREFS

Equals (1/2)*A001412. Cf. A078717, A001411, A001413.
Sequence in context: A190010 A151326 A063000 * A236579 A005053 A329764
Adjacent sequences: A002899 A002900 A002901 * A002903 A002904 A002905


KEYWORD

nonn,walk,nice


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Name amended by Scott R. Shannon, Sep 17 2020


STATUS

approved



