A236098 Decimal expansion of the real part of -Pi^(i*Pi).

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

Offset

0,1

Comments

The imaginary part is in A236099.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..10000

Formula

Equals -real(Pi^(i*Pi)) = -cos(Pi*log(Pi)) = -cos(A231736).

Example

0.898400579757743645668580370503151417548899949405011660808338878...

Mathematica

RealDigits[Cos[Log[Pi]*Pi], 10, 120][[1]] (* Amiram Eldar, Jun 06 2023 *)

Crossrefs

Cf. A000796, A053510, A073233, A231736, A236099, A236100, A236101.

Sequence in context: A073637 A153202 A019738 * A135466 A265296 A230154

Adjacent sequences: A236095 A236096 A236097 * A236099 A236100 A236101

Keyword

nonn,cons,easy

Author

Stanislav Sykora, Jan 19 2014

Status

approved