A390125 Decimal expansion of imaginary part of Integral_{x=1/e..1} log(log(x))/(1+x^2) dx.

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

Offset

1,2

Comments

For comments see A388042.

Links

Table of n, a(n) for n=1..106.

Formula

Equals Pi^2/4 - Pi*arctan(1/e).

Example

1.359947524123971579789...

Mathematica

RealDigits[Pi^2/4 - Pi ArcTan[1/E], 10, 105][[1]]

Prog

(PARI) Pi^2/4 - Pi*atan(1/exp(1)) \\ Stefano Spezia, Feb 24 2026

Crossrefs

Cf. A115252, A258428, A388042, A393630.

Sequence in context: A254689 A176445 A292863 * A377299 A160173 A256537

Adjacent sequences: A390122 A390123 A390124 * A390126 A390127 A390128

Keyword

nonn,cons

Author

Artur Jasinski, Feb 23 2026

Status

approved