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A222130 Decimal expansion of the real part of Pi^i, where i=sqrt(-1). 2
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 (list; constant; graph; refs; listen; history; text; internal format)
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 A084118 A046071

Adjacent sequences:  A222127 A222128 A222129 * A222131 A222132 A222133

KEYWORD

nonn,cons

AUTHOR

Bruno Berselli, Feb 08 2013

STATUS

approved

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Last modified March 30 18:30 EDT 2017. Contains 284302 sequences.