A046944 Number of self-avoiding walks of length n on the Laves graph.

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

Offset

0,2

Comments

The Leu reference gives 31 terms, but apparently is incorrect for a(25) onward.

Previous name: Number of self-avoiding walks of length n on hydrogen peroxide lattice.

Links

Andrey Zabolotskiy, Table of n, a(n) for n = 0..40 from Kuz'min et al. (terms up to 37 from Sean A. Irvine)

Sean A. Irvine, Java program (github).

M. D. Kuz'min, R. O. Kuzian and J. Richter, Ferromagnetism of the semi-simple cubic lattice, Eur. Phys. J. Plus 135, 750 (2020). See Table 4 (multiply by 2 to get this sequence).

J. A. Leu, Self-avoiding walks on a pair of three dimensional lattices, Phys. Lett., 29A (1969), 641-642.

J. A. Leu, D. D. Betts, and C. J. Elliott, High-temperature critical properties of the Ising model on a triple of related lattices, Canadian Journal of Physics, 47 (1969), 1671-1689.

Wikipedia, Laves graph

Crossrefs

Cf. A344040, A344071, A038620, A046945.

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