

A006816


Related to selfavoiding walks on square lattice.
(Formerly M4187)


2



1, 6, 29, 108, 393, 1298, 4271, 13312, 41469, 125042, 376747, 1111144, 3274475, 9505054, 27573041, 79086964, 226727667, 644301026, 1830188555, 5162408200, 14556754485, 40811281170
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OFFSET

1,2


COMMENTS

After constructing a selfavoiding walk, bridge together all adjacent neighboring sites on the walk. This sequence is sum of the total number of links after adding bridges across all walks of length n.  Sean A. Irvine, Aug 09 2017


REFERENCES

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..22.
A. J. Guttmann and J. Wang, The extension of selfavoiding random walk series in 2 dimensions, Preprint. (Annotated scanned copy)
B. D. Hughes, Random Walks and Random Environments, vol. 1, Oxford 1995, Tables and references for selfavoiding walks counts [Annotated scanned copy of several pages of a preprint or a draft of chapter 7 "The selfavoiding walk"]
S. S. Manna, A. J. Guttmann and A. K. Roy, Diffusion on selfavoiding walk networks, J. Phys. A 22 (1989), 36213627.


CROSSREFS

Cf. A001411, A006814, A006815.
Sequence in context: A175956 A164274 A047923 * A184130 A061648 A281050
Adjacent sequences: A006813 A006814 A006815 * A006817 A006818 A006819


KEYWORD

nonn,walk


AUTHOR

N. J. A. Sloane


EXTENSIONS

a(19)a(22) from Sean A. Irvine, Aug 09 2017


STATUS

approved



