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

%I #11 Mar 26 2013 03:53:53

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

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

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

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

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

%H Vincenzo Librandi, <a href="/A222128/b222128.txt">Table of n, a(n) for n = 0..5000</a>

%F Equals cos(Pi^2/2).

%e 0.22058404074969808866894591325578751045884803815941067237004887322...

%t RealDigits[Re[1/I^Pi], 10, 90][[1]] (* or *) RealDigits[Cos[Pi^2/2], 10, 90][[1]]

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

%Y Cf. A102753, A211883, A222129 (imaginary part of 1/i^Pi).

%K nonn,cons

%O 0,1

%A _Bruno Berselli_, Feb 08 2013

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