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

1,2

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

Table of n, a(n) for n=1..100.

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.

Formula

Equals sqrt(3)*Gamma(1/3)^(3/2)/(2*Pi).

Example

1.2087177032733153272448479435148561634349207331...

Mathematica

RealDigits[Sqrt[3] Gamma[1/3]^(3/2)/(2 Pi), 10, 100][[1]]

Crossrefs

Cf. A004117, A019692, A073005, A224273.

Sequence in context: A096609 A318136 A168037 * A019658 A366164 A021483

Adjacent sequences: A379089 A379090 A379091 * A379099 A379100 A379101

Keyword

nonn,cons,new

Author

Stefano Spezia, Dec 15 2024

Status

approved