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

Author

Bruno Berselli, Feb 08 2013

Keywords

• nonn
• cons

Examples

			0.910598499212614707060044514236877474514929053377520207196164279559...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..5000

Crossrefs

Cf. A053510, A049469 (imaginary part of e^i), A222130 (real part of Pi^i).

Programs

Mathematica

 RealDigits[Im[Pi^I], 10, 90][[1]] (* or *) RealDigits[Sin[Log[Pi]], 10, 90][[1]]

Maxima

fpprec:90; ev(bfloat(imagpart(%pi^%i)));

Formula

Equals sin(log(Pi)) = (Pi^i-1/Pi^i)/(2*i).