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A118355 Number of self-avoiding walks on a honeycomb lattice with a one-dimensional impenetrable boundary. 1

%I

%S 3,4,8,14,28,46,90,160,308,540,1032,1846,3502,6272,11852,21364,40234,

%T 72694,136564,247498,464070,842546,1577280,2868922,5364030,9769366,

%U 18245976,33272104,62086194,113326264,211304042,386039204,719319094,1315132086,2449100566

%N Number of self-avoiding walks on a honeycomb lattice with a one-dimensional impenetrable boundary.

%C Bennett-Wood and Owczarek (1996) compute up to a(48).

%H D. Bennett-Wood and A. L. Owczarek, <a href="http://dx.doi.org/10.1088/0305-4470/29/16/004">Exact enumeration results for self-avoiding walks on the honeycomb lattice attached to a surface</a>, J. Phys. A: Math. Gen., 29 (1996), 4755-4768. [See Table 1, p. 4761.]

%e a(1)=3 because there are 3 directions on the lattice for the first step.

%e a(2)=4 because two of these 3 first steps are already "repelled" by the boundary and only the third has two choices to proceed.

%K nonn

%O 1,1

%A _R. J. Mathar_, May 14 2006

%E Terms a(26) to a(35) were copied from Table 1 (p. 4761) in Bennett-Wood and Owczarek (1996) by _Petros Hadjicostas_, Jan 05 2019

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Last modified May 28 21:37 EDT 2020. Contains 334690 sequences. (Running on oeis4.)