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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
OFFSET
0,2
COMMENTS
In a certain Japanese mathematics dictionary, the value of Integral_{0..1} 1/(log|log x|) dx was given for many years as 0.
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: A232007 A019842 A357418 * A340918 A244046 A255332
KEYWORD
nonn,cons,more
AUTHOR
Seiichi Manyama, Apr 20 2018
EXTENSIONS
Corrected and extended by Robert G. Wilson v, Feb 20 2019
STATUS
approved