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Number of endless self-avoiding walks of length n for the square lattice.
10

%I #16 Apr 25 2020 02:25:54

%S 4,12,28,76,204,540,1404,3724,9748,25772,67940,179068,472580,1245620,

%T 3286308,8666956,22861604,60301764,159063748,419582396,1106796012,

%U 2919664716,7701735292,20317148476,53595401604,141385319932,372973583908,983913216292,2595592842460

%N Number of endless self-avoiding walks of length n for the square lattice.

%C The article introduces "endless self-avoiding walks (that) are the subset of walks which are still self-avoiding after they have been concatenated with copies of themselves head-to-tail ad infinitum".

%H Nathan Clisby, <a href="https://arxiv.org/abs/1302.2796">Endless self-avoiding walks</a>, arXiv:1302.2796 [cond-mat.stat-mech], 2013. See Table 2 column e_n p. 22.

%Y Cf. A334323, A334324, A334325.

%Y Cf. A334326, A334330, A334331, A334332, A334333, A334334.

%K nonn,nice

%O 1,1

%A _Michel Marcus_, Apr 23 2020