A222130 Decimal expansion of the real part of Pi^i, where i=sqrt(-1).

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

Offset

0,1

Links

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

Formula

Equals cos(log(Pi)) = (Pi^i+1/Pi^i)/2.

Example

0.41329211610159433662662839427669756498559068708354508287197664247...

Mathematica

 RealDigits[Re[Pi^I], 10, 90][[1]] (* or *) RealDigits[Cos[Log[Pi]], 10, 90][[1]]

Prog

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

Crossrefs

Cf. A053510, A049470 (real part of e^i), A222131 (imaginary part of Pi^i).

Sequence in context: A019633 A067277 A177951 * A061903 A309603 A328611

Adjacent sequences: A222127 A222128 A222129 * A222131 A222132 A222133

Keyword

nonn,cons

Author

Bruno Berselli, Feb 08 2013

Status

approved