A379092 Decimal expansion of sqrt(A224273).
1, 2, 0, 8, 7, 1, 7, 7, 0, 3, 2, 7, 3, 3, 1, 5, 3, 2, 7, 2, 4, 4, 8, 4, 7, 9, 4, 3, 5, 1, 4, 8, 5, 6, 1, 6, 3, 4, 3, 4, 9, 2, 0, 7, 3, 3, 1, 1, 2, 5, 0, 4, 9, 2, 5, 0, 0, 0, 4, 3, 5, 0, 3, 9, 9, 3, 5, 0, 8, 1, 1, 6, 6, 7, 0, 8, 9, 4, 4, 7, 7, 9, 8, 5, 0, 3, 5, 1, 6, 8, 4, 7, 3, 4, 5, 3, 0, 7, 6, 5
Offset: 1
Examples
1.2087177032733153272448479435148561634349207331...
References
- Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 5.24.1, p. 413.
Links
- R. J. Baxter, Colorings of a hexagonal lattice, Journal of Mathematical Physics, Vol. 11, No. 3 (1970), pp. 784-789.
- R. J. Baxter, q colourings of the triangular lattice, Journal of Physics A: Mathematical and General, Vol. 19, No. 14 (1986), pp. 2821-2839.
- Eric Weisstein's World of Mathematics, Baxter's Four-Coloring Constant.
Programs
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Mathematica
RealDigits[Sqrt[3] Gamma[1/3]^(3/2)/(2 Pi), 10, 100][[1]]
Formula
Equals sqrt(3)*Gamma(1/3)^(3/2)/(2*Pi).