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A242053 Decimal expansion of 1/log(2)-1, the mean value of a random variable following the Gauss-Kuzmin distribution. 0
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 (list; constant; graph; refs; listen; history; text; internal format)
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

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Last modified December 8 19:45 EST 2021. Contains 349596 sequences. (Running on oeis4.)