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Number of n-step self-avoiding walks on a 3D cubic lattice where the walk consists of three different units and each unit cannot be adjacent to another unit of the same type.
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%I #7 Sep 22 2020 01:47:54

%S 1,6,30,126,534,2262,9534,40254,169302,702510,2929806,12222414,

%T 50908158,212134902,882794118,3654001326,15159263934,62906444238,

%U 260853828438,1081924309806,4484440327350

%N Number of n-step self-avoiding walks on a 3D cubic lattice where the walk consists of three different units and each unit cannot be adjacent to another unit of the same type.

%C This is the 3-dimensional version of A337441; see that sequence for a description of the step rules.

%H A. J. Guttmann, <a href="http://dx.doi.org/10.1088/0305-4470/20/7/029">On the critical behavior of self-avoiding walks</a>, J. Phys. A 20 (1987), 1839-1854.

%Y Cf. A337441, A001412, A173380, A336492, A174319.

%K nonn,walk,more

%O 1,2

%A _Scott R. Shannon_, Aug 27 2020