A249206 Decimal expansion of the logarithmic capacity of the unit equilateral triangle.

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

Offset: 0

Author

Jean-François Alcover, Oct 23 2014

Keywords

• nonn
• cons
• easy

Examples

			0.421753934648426824238122958592773059107710633283...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 4.9 Integer Chebyshev constants, p. 268.

Links

• Steven Finch, Electrical capacitance [Cached copy, with permission of the author]

Crossrefs

Cf. A073005, A249205, A249220.

Programs

Mathematica

k = (Sqrt[3]/(8*Pi^2))*Gamma[1/3]^3; RealDigits[k, 10, 102] // First

Formula

k = (sqrt(3)/(8*Pi^2))*Gamma(1/3)^3.