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A245720 Decimal expansion of the mean cluster density for bond percolation on the triangular lattice. 0

%I #4 Jul 30 2014 08:42:03

%S 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,

%T 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,

%U 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

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

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

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

%e 0.11184427528454969567534433605161118038275119441321220145828...

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

%Y Cf. A130880.

%K nonn,cons

%O 0,4

%A _Jean-François Alcover_, Jul 30 2014

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