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

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Math Beast, Oxford university entrance exam question, YouTube video, 2025.

Formula

Equals sin(Pi/sqrt(2))/exp(Pi/sqrt(2)).

Example

0.0862950481802362811285347518373265409649389366268...

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 *)

Prog

(PARI) imag((-1)^sqrt(I))

Crossrefs

A380141 is the real part.

Cf. A247719.

Sequence in context: A197732 A224237 A199785 * A195497 A316588 A323810

Adjacent sequences: A380139 A380140 A380141 * A380143 A380144 A380145

Keyword

nonn,cons,easy

Author

Hugo Pfoertner, Jan 23 2025

Status

approved