A393630 Decimal expansion of imaginary part of Integral_{x=0..1/e} log(log(x))/(1+x^2) dx.

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

Offset

1,4

Comments

For comments see A388042.

Links

Table of n, a(n) for n=1..105.

Formula

Equals Pi*arctan(1/e).

Example

1.107453576148368074919...

Mathematica

RealDigits[Pi ArcTan[1/E], 10, 105][[1]]

Prog

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

Crossrefs

Cf. A115252, A258428, A388042, A390125.

Sequence in context: A180078 A019685 A208899 * A087491 A019899 A381396

Adjacent sequences: A393627 A393628 A393629 * A393631 A393632 A393633

Keyword

nonn,cons

Author

Artur Jasinski, Feb 23 2026

Status

approved