A303270 Decimal expansion of Integral_{x=0..1} 1/log(|log(x)|) dx (negated).

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.

Links

Table of n, a(n) for n=0..21.

Robert G. Wilson v, Graph of 1/(log|log 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: A232007 A019842 A357418 * A340918 A244046 A255332

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