A236099 Decimal expansion of the imaginary part of -Pi^(I*Pi).
4, 3, 9, 1, 7, 6, 9, 5, 5, 5, 5, 5, 4, 4, 5, 8, 9, 4, 3, 6, 9, 4, 5, 4, 7, 1, 3, 2, 3, 8, 3, 9, 6, 0, 9, 0, 1, 3, 6, 2, 1, 0, 0, 9, 6, 9, 7, 8, 1, 9, 0, 1, 4, 9, 5, 9, 5, 2, 3, 4, 1, 6, 8, 1, 0, 5, 3, 7, 4, 0, 2, 9, 4, 8, 8
Offset: 0
Examples
0.4391769555554458943694547132383960901362100969781901495952341681...
Links
- Stanislav Sykora, Table of n, a(n) for n = 0..10000
Programs
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Mathematica
RealDigits[Im[-Pi^(I Pi)],10,120][[1]] (* Harvey P. Dale, Jan 02 2018 *)
Formula
-imag(Pi^(I*Pi)) = -sin(Pi*log(Pi)) = -sin(A231736).
Comments