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%I #8 Dec 14 2024 14:43:54
%S 3,9,5,3,7
%N Decimal expansion of the expected number of steps to termination by self-trapping of a self-avoiding random walk on the cubic lattice.
%C See A077818 for more information and links. Since a more accurate value is probably 3953.78..., one should currently use 3953.8 +- 0.1 as a safe estimate.
%H Martin Z. Bazant, <a href="https://math.mit.edu/~bazant/teach/18.325/index.html">Topics in Random Walks and Diffusion</a>, Graduate course 18.325, Spring 2001 at the Massachusetts Institute for Technology.
%H Martin Z. Bazant, <a href="https://math.mit.edu/~bazant/teach/18.325/problems/">Topics in Random Walks and Diffusion</a>, Problem Sets for Spring 2001. In the no longer available solutions to Problem Set 2b, Dion Harmon gave 3960 using 10^5 walks, and E.C.Silva gave 3676 using 1.5*10^4 walks.
%H Martin Z. Bazant, <a href="/A378903/a378903_1.pdf">Problem Set 2</a> for Graduate course 18.325, local pdf version of postscript file. Problem 5. Self-Trapping Walk.
%H Hugo Pfoertner, <a href="/A378903/a378903.pdf">Probability density for the number of steps before trapping occurs</a>, based on 27*10^9 simulated walks (2024).
%e 3953.7...
%Y Cf. A001412, A077817, A077818, A077819, A077820, A377161, A377162.
%K nonn,cons,hard,more,new
%O 4,1
%A _Hugo Pfoertner_, Dec 14 2024