A343054 Decimal expansion of the imaginary part of i^(1/12), or sin(Pi/24).

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

Offset

0,2

Links

Table of n, a(n) for n=0..115.

Wikipedia, Trigonometric constants expressed in real radicals

Formula

Equals (1/2) * sqrt(2-sqrt(2+sqrt(3))).

Example

0.130526192220051591548...

Mathematica

RealDigits[Sin[Pi/24], 10, 100][[1]] (* Amiram Eldar, Apr 27 2021 *)

Prog

(PARI) imag(I^(1/12))
(PARI) sin(Pi/24)
(PARI) sqrt(2-sqrt(2+sqrt(3)))/2

Crossrefs

Cf. A144982 (cos(Pi/24)).

Sequence in context: A215447 A346692 A159980 * A098496 A175297 A165754

Adjacent sequences: A343051 A343052 A343053 * A343055 A343056 A343057

Keyword

nonn,cons,easy

Author

Seiichi Manyama, Apr 04 2021

Status

approved