A245772 Decimal expansion of the entropy of folding of the triangular lattice.
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, 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, 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
Offset: 0
Examples
0.1895600483163599659177242011169696602042850762146366815851796...
References
- Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.24 Lieb's square ice constant, p. 415.
Links
- Eric Weisstein's MathWorld, Baxter's Four-Coloring Constant.
Crossrefs
Cf. A224273.
Programs
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Mathematica
RealDigits[(1/2)*Log[(3*Gamma[1/3]^3)/(4*Pi^2)], 10, 104] // First
Formula
(1/2)*log(A224273).