login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A245720 Decimal expansion of the mean cluster density for bond percolation on the triangular lattice. 0
1, 1, 1, 8, 4, 4, 2, 7, 5, 2, 8, 4, 5, 4, 9, 6, 9, 5, 6, 7, 5, 3, 4, 4, 3, 3, 6, 0, 5, 1, 6, 1, 1, 1, 8, 0, 3, 8, 2, 7, 5, 1, 1, 9, 4, 4, 1, 3, 2, 1, 2, 2, 0, 1, 4, 5, 8, 2, 8, 0, 0, 2, 3, 3, 5, 4, 6, 7, 2, 7, 3, 4, 0, 2, 4, 6, 6, 3, 2, 4, 6, 3, 0, 1, 5, 2, 4, 6, 6, 0, 9, 7, 2, 3, 1, 1, 5, 9, 5, 2, 2, 8, 4, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.18 Percolation Cluster Density Constants, p. 373.

LINKS

Table of n, a(n) for n=0..103.

FORMULA

35/4 - 3/p_c, where p_c = A130880 = 2*sin(Pi/18) is the critical probability.

EXAMPLE

0.11184427528454969567534433605161118038275119441321220145828...

MATHEMATICA

RealDigits[35/4 - 3/(2*Sin[Pi/18]), 10, 104] // First

CROSSREFS

Cf. A130880.

Sequence in context: A011360 A244091 A197033 * A229495 A131921 A129105

Adjacent sequences:  A245717 A245718 A245719 * A245721 A245722 A245723

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Jul 30 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)