A249205 Decimal expansion of the logarithmic capacity of the unit disk.

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

Offset: 0

Author

Jean-François Alcover, Oct 23 2014

Keywords

• nonn
• cons
• easy

Examples

			0.59017029950804811302266897027924429361685831744...
		

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. A068466, A249206, A249220.

Programs

Mathematica

k = (1/(4*Pi^(3/2)))*Gamma[1/4]^2; RealDigits[k, 10, 100] // First

PARI

(1/(4*Pi^(3/2)))*gamma(1/4)^2 \\ Michel Marcus, Sep 03 2023

Formula

Equals (1/(4*Pi^(3/2)))*Gamma(1/4)^2.

Equals hypergeom([1/2, 1/2], [1], 1/2)/2. - Gerry Martens, Jul 31 2023