A236100 -id:A236100 - cp's OEIS frontend

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

Stanislav Sykora, Jan 19 2014

The imaginary part is in A236099.

			0.898400579757743645668580370503151417548899949405011660808338878...

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

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

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

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

A236099 Decimal expansion of the imaginary part of -Pi^(I*Pi).

Original entry on oeis.org

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

Offset: 0

Stanislav Sykora, Jan 19 2014

The real part is in A236098.

			0.4391769555554458943694547132383960901362100969781901495952341681...

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

Cf. A000796, A053510, A073233, A231736, A236098, A236100, A236101.

RealDigits[Im[-Pi^(I Pi)],10,120][[1]] (* Harvey P. Dale, Jan 02 2018 *)

-imag(Pi^(I*Pi)) = -sin(Pi*log(Pi)) = -sin(A231736).

A236101 Decimal expansion of the imaginary part of Pi^(i/Pi).

Original entry on oeis.org

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

Offset: 0

Stanislav Sykora, Jan 19 2014

The real part is in A236100.

			0.35636898503331389990769183737865940578845872790065930829963...

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

Cf. A000796, A053510, A073233, A231736, A236100, A236098, A236099.

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

Equals imag(Pi^(i/Pi)) = sin(log(Pi)/Pi) = sin(A231737).

cp's OEIS Frontend

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

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A236099 Decimal expansion of the imaginary part of -Pi^(I*Pi).

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A236101 Decimal expansion of the imaginary part of Pi^(i/Pi).

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