A236101 Decimal expansion of the imaginary part of Pi^(i/Pi).
3, 5, 6, 3, 6, 8, 9, 8, 5, 0, 3, 3, 3, 1, 3, 8, 9, 9, 9, 0, 7, 6, 9, 1, 8, 3, 7, 3, 7, 8, 6, 5, 9, 4, 0, 5, 7, 8, 8, 4, 5, 8, 7, 2, 7, 9, 0, 0, 6, 5, 9, 3, 0, 8, 2, 9, 9, 6, 3, 0, 4, 7, 9, 2, 3, 3, 0, 8, 9, 9, 0, 5, 6, 1, 7, 2, 4, 3, 3, 7, 3, 1, 1, 1, 3, 0, 9, 2, 5, 9, 0, 7, 9, 1, 7, 6, 0, 0, 6, 6, 0, 2, 5, 9, 4
Offset: 0
Examples
0.35636898503331389990769183737865940578845872790065930829963...
Links
- Stanislav Sykora, Table of n, a(n) for n = 0..10000
Programs
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Mathematica
RealDigits[Sin[Log[Pi]/Pi], 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)
Formula
Equals imag(Pi^(i/Pi)) = sin(log(Pi)/Pi) = sin(A231737).
Comments