A232737 Decimal expansion of the real part of I^(1/8), or cos(Pi/16).

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

Offset

0,1

Comments

The corresponding imaginary part is in A232738.

Links

Stanislav Sykora, Table of n, a(n) for n = 0..1000

Wikipedia, Trigonometric constants expressed in real radicals.

Formula

Equals (1/2) * sqrt(2+sqrt(2+sqrt(2))). - Seiichi Manyama, Apr 04 2021

Example

0.9807852804032304491261822361342390369739337308933360950029160885453...

Mathematica

RealDigits[Cos[Pi/16], 10, 120][[1]] (* Amiram Eldar, Jun 29 2023 *)

Prog

(PARI) real(I^(1/8)) \\ Seiichi Manyama, Apr 04 2021
(PARI) cos(Pi/16) \\ Seiichi Manyama, Apr 04 2021
(PARI) sqrt(2+sqrt(2+sqrt(2)))/2 \\ Seiichi Manyama, Apr 04 2021

Crossrefs

Cf. A232738 (imaginary part), A010503 (real(I^(1/2))), A010527 (real(I^(1/3))), A144981 (real(I^(1/4))), A019881 (real(I^(1/5))), A019884 (real(I^(1/6))), A232735 (real(I^(1/7))), A019889 (real(I^(1/9))), A019890 (real(I^(1/10))).

Sequence in context: A344426 A021106 A072915 * A155683 A343469 A261813

Adjacent sequences: A232734 A232735 A232736 * A232738 A232739 A232740

Keyword

nonn,cons,easy

Author

Stanislav Sykora, Nov 29 2013

Status

approved