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

0,1

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..99.

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

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

Example

0.59017029950804811302266897027924429361685831744...

Mathematica

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

Prog

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

Crossrefs

Cf. A068466, A249206, A249220.

Sequence in context: A297559 A195144 A175997 * A344966 A294613 A144408

Adjacent sequences: A249202 A249203 A249204 * A249206 A249207 A249208

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Oct 23 2014

Status

approved