A393630 - OEIS

%I #9 Feb 27 2026 16:59:26

%S 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,

%T 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,

%U 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

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

%C For comments see A388042.

%F Equals Pi*arctan(1/e).

%e 1.107453576148368074919...

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

%o (PARI) Pi*atan(1/exp(1)) \\ _Stefano Spezia_, Feb 24 2026

%Y Cf. A115252, A258428, A388042, A390125.

%K nonn,cons

%O 1,4

%A _Artur Jasinski_, Feb 23 2026