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

0,1

References

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

Links

Table of n, a(n) for n=0..101.

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

Formula

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

Example

0.421753934648426824238122958592773059107710633283...

Mathematica

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

Crossrefs

Cf. A073005, A249205, A249220.

Sequence in context: A119953 A010645 A326772 * A245324 A039962 A046741

Adjacent sequences: A249203 A249204 A249205 * A249207 A249208 A249209

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 23 2014

Status

approved