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

Author

Wolfdieter Lang, Dec 04 2022

Keywords

• nonn
• cons
• easy

Comments

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

Examples

			0.75983568565159254733118775065454533539677344888731031861128865370032223317...
		

Crossrefs

Cf. A011002, A011022.

Programs

Mathematica

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

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

Equals 1/A011002. - Jason Yuen, Jul 27 2024