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

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, 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, 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

Offset

0,1

Links

Table of n, a(n) for n=0..99.

Paul N. Suding and Robert M. Ziff, Site percolation thresholds for Archimedean lattices, arXiv:cond-mat/9811416 [cond-mat.dis-nn], 1998.

Paul N. Suding and Robert M. Ziff, Site percolation thresholds for Archimedean lattices, Phys. Rev. E 60, 275 (1999): 275-283. Bibcode 1999PhRvE..60..275S.

Wikipedia, Percolation threshold.

Formula

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

Example

0.80790076412028433128335203932861191473183501086272...

Mathematica

RealDigits[Sqrt[1 - 2*Sin[Pi/18]], 10, 120][[1]] (* Amiram Eldar, Jun 25 2023 *)

Crossrefs

Sequence in context: A198221 A183001 A262522 * A133741 A066606 A048729

Adjacent sequences: A174846 A174847 A174848 * A174850 A174851 A174852

Keyword

nonn,cons

Author

Jonathan Vos Post, Dec 22 2012

Status

approved