%I M4545 N1929 #32 Oct 16 2022 13:26:01
%S 1,8,56,392,2648,17960,120056,804824,5351720,35652680,236291096,
%T 1568049560,10368669992,68626647608,453032542040,2992783648424,
%U 19731335857592,130161040083608,857282278813256,5648892048530888,37175039569217672,244738250638121768
%N Number of n-step self-avoiding walks on b.c.c. lattice (version 2).
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Andrey Zabolotskiy, <a href="/A001666/b001666.txt">Table of n, a(n) for n = 0..28</a> (from Schram et al.)
%H M. E. Fisher and M. F. Sykes, <a href="http://dx.doi.org/10.1103/PhysRev.114.45">Excluded-volume problem and the Ising model of ferromagnetism</a>, Phys. Rev. 114 (1959), 45-58.
%H A. J. Guttmann, <a href="http://dx.doi.org/10.1088/0305-4470/22/14/027">On the critical behavior of self-avoiding walks II</a>, J. Phys. A 22 (1989), 2807-2813. See Table 1.
%H Raoul D. Schram, Gerard T. Barkema, Rob H. Bisseling and Nathan Clisby, <a href="https://doi.org/10.1088/1742-5468/aa819f">Exact enumeration of self-avoiding walks on BCC and FCC lattices</a>, J. Stat. Mech. (2017) 083208; arXiv:<a href="https://arxiv.org/abs/1703.09340">1703.09340</a> [cond-mat.stat-mech], 2017. See Table I.
%H M. F. Sykes, <a href="http://dx.doi.org/10.1063/1.1724212">Some counting theorems in the theory of the Ising problem and the excluded volume problem</a>, J. Math. Phys., 2 (1961), 52-62.
%H M. F. Sykes et al., <a href="http://dx.doi.org/10.1088/0305-4470/5/5/007">The asymptotic behavior of selfavoiding walks and returns on a lattice</a>, J. Phys. A 5 (1972), 653-660.
%H <a href="/index/Ba#bcc">Index entries for sequences related to b.c.c. lattice</a>
%Y Equals twice A002903 except for initial term.
%Y Cf. A001336, A001412.
%K nonn,walk,nice
%O 0,2
%A _N. J. A. Sloane_
%E a(16)-a(18) from _Bert Dobbelaere_, Jan 16 2019
%E Terms a(19) and beyond from Schram et al. added by _Andrey Zabolotskiy_, Feb 02 2022
%E Edited by _N. J. A. Sloane_, Oct 16 2022