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

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

Offset

0,1

Comments

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

Links

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

Formula

Equals -sin(Pi^2/2).

Example

0.97536797208363138515748287410849478847409651236377497298708899116...

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A109846 A096230 A114433 * A188141 A244667 A307235

Adjacent sequences: A222126 A222127 A222128 * A222130 A222131 A222132

Keyword

nonn,cons

Author

Bruno Berselli, Feb 08 2013

Status

approved