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A222131 Decimal expansion of the imaginary part of Pi^i, where i=sqrt(-1). 2

%I #13 Mar 26 2013 03:57:27

%S 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,

%T 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,

%U 5,6,9,3,5,7,5,9,3,1,7,9,8,1,5,9,4,6,4

%N Decimal expansion of the imaginary part of Pi^i, where i=sqrt(-1).

%H Vincenzo Librandi, <a href="/A222131/b222131.txt">Table of n, a(n) for n = 0..5000</a>

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

%e 0.910598499212614707060044514236877474514929053377520207196164279559...

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

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

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

%K nonn,cons

%O 0,1

%A _Bruno Berselli_, Feb 08 2013

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