A380142 Decimal expansion of the imaginary part of (-1)^sqrt(i), where i is the imaginary unit.
0, 8, 6, 2, 9, 5, 0, 4, 8, 1, 8, 0, 2, 3, 6, 2, 8, 1, 1, 2, 8, 5, 3, 4, 7, 5, 1, 8, 3, 7, 3, 2, 6, 5, 4, 0, 9, 6, 4, 9, 3, 8, 9, 3, 6, 6, 2, 6, 8, 0, 2, 5, 2, 5, 3, 0, 4, 9, 6, 6, 8, 7, 6, 1, 5, 4, 5, 5, 9, 3, 8, 8, 1, 4, 7, 4, 4, 1, 7, 1, 2, 4, 6, 0, 4, 7, 8, 4, 6
Offset: 0
Examples
0.0862950481802362811285347518373265409649389366268...
Links
- Paolo Xausa, Table of n, a(n) for n = 0..10000
- Math Beast, Oxford university entrance exam question, YouTube video, 2025.
Programs
-
Maple
evalf[140](Im((-1)^sqrt(I))); # Alois P. Heinz, Jan 23 2025
-
Mathematica
First[RealDigits[Im[(-1)^Sqrt[I]], 10, 100, -1]] (* Paolo Xausa, Feb 26 2025 *)
-
PARI
imag((-1)^sqrt(I))
Formula
Equals sin(Pi/sqrt(2))/exp(Pi/sqrt(2)).