cp's OEIS Frontend

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

%I A046944 #28 Feb 24 2022 22:57:42
%S A046944 1,3,6,12,24,48,96,192,384,768,1506,2982,5904,11688,23094,45678,90000,
%T A046944 177660,349938,690192,1359288,2678808,5271558,10381926,20419224,
%U A046944 40191084,79025262,155469228,305582724,600935844,1180783482,2321203446,4559743116,8960747616
%N A046944 Number of self-avoiding walks of length n on the Laves graph.
%C A046944 The Leu reference gives 31 terms, but apparently is incorrect for a(25) onward.
%C A046944 Previous name: Number of self-avoiding walks of length n on hydrogen peroxide lattice.
%H A046944 Andrey Zabolotskiy, <a href="/A046944/b046944.txt">Table of n, a(n) for n = 0..40</a> from Kuz'min et al. (terms up to 37 from Sean A. Irvine)
%H A046944 Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a046/A046944.java">Java program</a> (github).
%H A046944 M. D. Kuz'min, R. O. Kuzian and J. Richter, <a href="https://doi.org/10.1140/epjp/s13360-020-00722-z">Ferromagnetism of the semi-simple cubic lattice</a>, Eur. Phys. J. Plus 135, 750 (2020). See Table 4 (multiply by 2 to get this sequence).
%H A046944 J. A. Leu, <a href="https://doi.org/10.1016/0375-9601(69)90174-1">Self-avoiding walks on a pair of three dimensional lattices</a>, Phys. Lett., 29A (1969), 641-642.
%H A046944 J. A. Leu, D. D. Betts, and C. J. Elliott, <a href="https://doi.org/10.1139/p69-212">High-temperature critical properties of the Ising model on a triple of related lattices</a>, Canadian Journal of Physics, 47 (1969), 1671-1689.
%H A046944 Wikipedia, <a href="https://en.wikipedia.org/wiki/Laves_graph">Laves graph</a>
%Y A046944 Cf. A344040, A344071, A038620, A046945.
%K A046944 nonn,walk
%O A046944 0,2
%A A046944 _N. J. A. Sloane_
%E A046944 More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 25 2010
%E A046944 a(25) onward corrected by _Sean A. Irvine_, May 06 2021
%E A046944 Name clarified by _Andrey Zabolotskiy_, Jun 03 2021