A372863 Decimal expansion of Integral_{x=2..oo} 1/(x^2*log(x)) dx.
3, 7, 8, 6, 7, 1, 0, 4, 3, 0, 6, 1, 0, 8, 7, 9, 7, 6, 7, 2, 7, 2, 0, 7, 1, 8, 4, 6, 3, 6, 5, 6, 0, 9, 8, 0, 5, 5, 1, 2, 3, 4, 0, 4, 0, 9, 7, 8, 2, 1, 3, 9, 9, 6, 9, 4, 4, 4, 2, 0, 9, 4, 1, 7, 3, 4, 5, 5, 4, 7, 5, 6, 7, 2, 6, 6, 7, 4, 6, 9, 0, 9, 8, 5, 8, 2
Offset: 0
Examples
0.37867104306108797672720718463656098055123...
Programs
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Maple
evalf(-Li(1/2), 140); # Alois P. Heinz, Mar 08 2025
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Mathematica
s = Integrate[1/(x^2*Log[x]), {x, 2, Infinity}] d = N[s, 100] First[RealDigits[d]] -
PARI
intnum(x=2, +oo, 1/(x^2*log(x))) \\ Michel Marcus, Mar 08 2025
Formula
Equals -li(0.5), where li(x) is the logarithmic integral. - Andy Nicol, Mar 08 2025
Equals log(2) * A232734. - R. J. Mathar, Aug 31 2025