

A046944


Number of selfavoiding walks of length n on the Laves graph.


3



1, 3, 6, 12, 24, 48, 96, 192, 384, 768, 1506, 2982, 5904, 11688, 23094, 45678, 90000, 177660, 349938, 690192, 1359288, 2678808, 5271558, 10381926, 20419224, 40191084, 79025262, 155469228, 305582724, 600935844, 1180783482, 2321203446, 4559743116, 8960747616
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OFFSET

0,2


COMMENTS

The Leu reference gives 31 terms, but apparently is incorrect for a(25) onward.
Previous name: Number of selfavoiding walks of length n on hydrogen peroxide lattice.


LINKS

Sean A. Irvine, Table of n, a(n) for n = 0..37
Sean A. Irvine, Java program (github).
J. A. Leu, Selfavoiding walks on a pair of three dimensional lattices, Phys. Lett., 29A (1969), 641642.
J. A. Leu, D. D. Betts, and C. J. Elliott, Hightemperature critical properties of the Ising model on a triple of related lattices, Canadian Journal of Physics, 47 (1969), 16711689.
Wikipedia, Laves graph


CROSSREFS

Cf. A344040, A344071, A038620.
Sequence in context: A164696 A344040 A165183 * A165745 A166327 A166467
Adjacent sequences: A046941 A046942 A046943 * A046945 A046946 A046947


KEYWORD

nonn,walk


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 25 2010
a(25) onward corrected by Sean A. Irvine, May 06 2021
Name clarified by Andrey Zabolotskiy, Jun 03 2021


STATUS

approved



