

A303270


Decimal expansion of Integral_{x=0..1} 1/log(log(x)) dx (negated).


1



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

0,2


COMMENTS

In a certain Japanese mathematics dictionary, the value of Integral_{0..1} 1/(loglog x) dx was given for many years as 0.


LINKS

Table of n, a(n) for n=0..21.
Robert G. Wilson v, Graph of 1/(loglog x) from 0..1.


FORMULA

Equals Integral_{x>=0} exp(x)/log(x) dx (negated).


EXAMPLE

0.15447964132...


MATHEMATICA

NIntegrate[1/Log[Log[x]], {x, 0, 1}, AccuracyGoal > 2^8, WorkingPrecision > 2^16, PrecisionGoal > 2^7, MaxRecursion > 2^15, MaxPoints > 2^20, Exclusions > {1/E}] (* Robert G. Wilson v, Feb 20 2019 *)


CROSSREFS

Cf. A001620.
Sequence in context: A134209 A232007 A019842 * A244046 A255332 A071419
Adjacent sequences: A303267 A303268 A303269 * A303271 A303272 A303273


KEYWORD

nonn,cons,more


AUTHOR

Seiichi Manyama, Apr 20 2018


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Feb 20 2019


STATUS

approved



