A245720 Decimal expansion of the mean cluster density for bond percolation on the triangular lattice.

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

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 A370198 A131921

Adjacent sequences: A245717 A245718 A245719 * A245721 A245722 A245723

Keyword

nonn,cons

Author

Jean-François Alcover, Jul 30 2014

Status

approved