A358186 Decimal expansion of the positive real root r of 3*x^4 - 1.

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

Offset

0,1

Comments

The other roots are -r and the complex conjugate pair r*i and -r*i.

Links

Table of n, a(n) for n=0..75.

Formula

r = (1/3)^(1/4) = (1/3)*27^(1/4).

Equals A011022/3.

Equals exp(-arctanh(1/2)/2). - Amiram Eldar, Jul 06 2023

Example

0.75983568565159254733118775065454533539677344888731031861128865370032223317...

Mathematica

RealDigits[Surd[1/3, 4], 10, 120][[1]] (* Amiram Eldar, Dec 07 2022 *)

Crossrefs

Cf. A011002.

Sequence in context: A065170 A346589 A113816 * A073823 A351212 A323669

Adjacent sequences: A358183 A358184 A358185 * A358187 A358188 A358189

Keyword

nonn,cons,easy

Author

Wolfdieter Lang, Dec 04 2022

Status

approved