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A222129 Decimal expansion of the imaginary part of 1/i^Pi, where i=sqrt(-1). 2

%I #11 Mar 26 2013 03:54:22

%S 9,7,5,3,6,7,9,7,2,0,8,3,6,3,1,3,8,5,1,5,7,4,8,2,8,7,4,1,0,8,4,9,4,7,

%T 8,8,4,7,4,0,9,6,5,1,2,3,6,3,7,7,4,9,7,2,9,8,7,0,8,8,9,9,1,1,6,1,9,2,

%U 6,0,4,5,6,8,3,3,7,4,3,2,2,1,8,0,1,6,9

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

%C Also, decimal expansion of the imaginary part of -i^Pi.

%H Vincenzo Librandi, <a href="/A222129/b222129.txt">Table of n, a(n) for n = 0..5000</a>

%F Equals -sin(Pi^2/2).

%e 0.97536797208363138515748287410849478847409651236377497298708899116...

%t RealDigits[Im[1/I^Pi], 10, 90][[1]] (* or *) RealDigits[-Sin[Pi^2/2], 10, 90][[1]]

%o (Maxima) fpprec:90; ev(bfloat(imagpart(1/%i^%pi)));

%Y Cf. A102753, A211884, A222128 (real part of 1/i^Pi).

%K nonn,cons

%O 0,1

%A _Bruno Berselli_, Feb 08 2013

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