A222131 Decimal expansion of the imaginary part of Pi^i, where i=sqrt(-1).
9, 1, 0, 5, 9, 8, 4, 9, 9, 2, 1, 2, 6, 1, 4, 7, 0, 7, 0, 6, 0, 0, 4, 4, 5, 1, 4, 2, 3, 6, 8, 7, 7, 4, 7, 4, 5, 1, 4, 9, 2, 9, 0, 5, 3, 3, 7, 7, 5, 2, 0, 2, 0, 7, 1, 9, 6, 1, 6, 4, 2, 7, 9, 5, 5, 9, 3, 4, 5, 6, 9, 3, 5, 7, 5, 9, 3, 1, 7, 9, 8, 1, 5, 9, 4, 6, 4
Offset: 0
Examples
0.910598499212614707060044514236877474514929053377520207196164279559...
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..5000
Programs
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Mathematica
RealDigits[Im[Pi^I], 10, 90][[1]] (* or *) RealDigits[Sin[Log[Pi]], 10, 90][[1]]
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Maxima
fpprec:90; ev(bfloat(imagpart(%pi^%i)));
Formula
Equals sin(log(Pi)) = (Pi^i-1/Pi^i)/(2*i).