A242053 Decimal expansion of 1/log(2)-1, the mean value of a random variable following the Gauss-Kuzmin distribution.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.17 Gauss-Kuzmin-Wirsing constant, p. 151.

Links

Table of n, a(n) for n=0..98.

Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, 2.17 p. 21.

Michael Penn, This infinite series is crazy!, YouTube video, 2020.

Index entries for transcendental numbers

Formula

Equals (1/log(2))*Integral_{x=0..1} x/(1+x) dx.

Equals Sum_{k>=1} 1/(2^k*(1 + 2^(2^(-k)))). - Amiram Eldar, May 28 2021

Example

0.4426950408889634073599246810018921374266459541529859341354494...

Mathematica

RealDigits[1/Log[2] - 1, 10, 99] // First

Crossrefs

Cf. A007525.

Sequence in context: A273616 A064860 A091223 * A007525 A151966 A010778

Adjacent sequences: A242050 A242051 A242052 * A242054 A242055 A242056

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Aug 13 2014

Status

approved