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A174849 Decimal expansion of the site percolation threshold for the (3, 12^2) Archimedean lattice. 1

%I #34 Jun 25 2023 01:51:49

%S 8,0,7,9,0,0,7,6,4,1,2,0,2,8,4,3,3,1,2,8,3,3,5,2,0,3,9,3,2,8,6,1,1,9,

%T 1,4,7,3,1,8,3,5,0,1,0,8,6,2,7,2,1,7,2,0,9,1,5,2,2,6,0,7,2,2,9,1,5,6,

%U 7,6,7,0,0,7,4,7,8,3,0,2,0,2,4,6,0,1,8,7,4,0,5,8,4,0,7,1,3,7,6,5

%N Decimal expansion of the site percolation threshold for the (3, 12^2) Archimedean lattice.

%H Paul N. Suding and Robert M. Ziff, <a href="https://arxiv.org/abs/cond-mat/9811416">Site percolation thresholds for Archimedean lattices</a>, arXiv:cond-mat/9811416 [cond-mat.dis-nn], 1998.

%H Paul N. Suding and Robert M. Ziff, <a href="https://doi.org/10.1103/PhysRevE.60.275">Site percolation thresholds for Archimedean lattices</a>, Phys. Rev. E 60, 275 (1999): 275-283. Bibcode 1999PhRvE..60..275S.

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Percolation_threshold">Percolation threshold</a>.

%F Equals (1 - 2*sin(Pi/18))^(1/2).

%e 0.80790076412028433128335203932861191473183501086272...

%t RealDigits[Sqrt[1 - 2*Sin[Pi/18]], 10, 120][[1]] (* _Amiram Eldar_, Jun 25 2023 *)

%K nonn,cons

%O 0,1

%A _Jonathan Vos Post_, Dec 22 2012

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)