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A174849 Decimal expansion of the site percolation threshold for the (3, 12^2) Archimedean lattice. 1
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

From the Wikipedia article (see link):

"Percolation threshold is a mathematical term related to percolation theory, which is the formation of long-range connectivity in random systems. Below the threshold a giant connected component does not exist while above it, there exists a giant component of the order of system size. In engineering and coffee making, percolation represents the flow of fluids through porous media, but in the mathematics and physics worlds it generally refers to simplified lattice models of random systems or networks (graphs), and the nature of the connectivity in them. The percolation threshold is the critical value of the occupation probability p, or more generally a critical surface for a group of parameters p_1,p_2, ..., such that infinite connectivity (percolation) first occurs."

REFERENCES

Suding, P. N.; R. M. Ziff (1999). "Site percolation thresholds for Archimedean lattices". Physical Review E 60 (1): 275-283. Bibcode 1999PhRvE..60..275S. doi:10.1103/PhysRevE.60.275

LINKS

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

Wikipedia, Percolation threshold, as downloaded Dec 22 2012

FORMULA

(1 - 2 sin (pi/18))^(1/2).

EXAMPLE

0.8079007...

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

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Last modified May 25 01:01 EDT 2017. Contains 287008 sequences.