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A253191 Decimal expansion of log(2)^2. 2
4, 8, 0, 4, 5, 3, 0, 1, 3, 9, 1, 8, 2, 0, 1, 4, 2, 4, 6, 6, 7, 1, 0, 2, 5, 2, 6, 3, 2, 6, 6, 6, 4, 9, 7, 1, 7, 3, 0, 5, 5, 2, 9, 5, 1, 5, 9, 4, 5, 4, 5, 5, 8, 6, 8, 6, 6, 8, 6, 4, 1, 3, 3, 6, 2, 3, 6, 6, 5, 3, 8, 2, 2, 5, 9, 8, 3, 4, 4, 7, 2, 1, 9, 9, 9, 4, 8, 2, 6, 3, 4, 4, 3, 9, 2, 6, 9, 9, 0, 9, 3, 2, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..102.

David H. Bailey, Jonathan M. Borwein, Richard E. Crandall, On the Khintchine Constant. p. 4.

Index entries for transcendental numbers

FORMULA

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

Integral_{0..1} log(log(1/x))/(x+sqrt(x)) dx = log(2)^2.

EXAMPLE

0.480453013918201424667102526326664971730552951594545586866864...

MATHEMATICA

RealDigits[Log[2]^2, 10, 103] // First

PROG

(PARI) log(2)^2 \\ Charles R Greathouse IV, Apr 20 2016

CROSSREFS

Cf. A002162.

Sequence in context: A011317 A185578 A087264 * A199777 A200389 A195455

Adjacent sequences:  A253188 A253189 A253190 * A253192 A253193 A253194

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Mar 24 2015

STATUS

approved

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Last modified June 24 21:16 EDT 2019. Contains 324337 sequences. (Running on oeis4.)