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

0,1

Links

Table of n, a(n) for n=0..85.

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

Example

0.37867104306108797672720718463656098055123...

Maple

evalf(-Li(1/2), 140);  # Alois P. Heinz, Mar 08 2025

Mathematica

s = Integrate[1/(x^2*Log[x]), {x, 2, Infinity}]
d = N[s, 100]
First[RealDigits[d]]

Prog

(PARI) intnum(x=2, +oo, 1/(x^2*log(x))) \\ Michel Marcus, Mar 08 2025

Crossrefs

Cf. A372856, A372862.

Sequence in context: A173257 A103560 A198562 * A244334 A011398 A317850

Adjacent sequences: A372860 A372861 A372862 * A372864 A372865 A372866

Keyword

nonn,cons

Author

Clark Kimberling, Jun 12 2024

Status

approved