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Decimal expansion of the entropy of folding of the triangular lattice.
0

%I #6 Aug 01 2014 06:41:30

%S 1,8,9,5,6,0,0,4,8,3,1,6,3,5,9,9,6,5,9,1,7,7,2,4,2,0,1,1,1,6,9,6,9,6,

%T 6,0,2,0,4,2,8,5,0,7,6,2,1,4,6,3,6,6,8,1,5,8,5,1,7,9,6,0,0,9,8,7,3,2,

%U 1,9,3,3,1,2,5,4,2,4,3,5,9,5,6,7,8,8,6,1,7,7,6,2,0,3,4,0,0,4,0,0,4,1,3,8

%N Decimal expansion of the entropy of folding of the triangular lattice.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.24 Lieb's square ice constant, p. 415.

%H Eric Weisstein's MathWorld, <a href="http://mathworld.wolfram.com/BaxtersFour-ColoringConstant.html">Baxter's Four-Coloring Constant</a>.

%F (1/2)*log(A224273).

%e 0.1895600483163599659177242011169696602042850762146366815851796...

%t RealDigits[(1/2)*Log[(3*Gamma[1/3]^3)/(4*Pi^2)], 10, 104] // First

%Y Cf. A224273.

%K nonn,cons

%O 0,2

%A _Jean-François Alcover_, Aug 01 2014