A356030 Decimal expansion of the real root of x^3 - x - 2.

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

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

Equals ((27 + 3*sqrt(78))^(1/3) + 3/(27 + 3*sqrt(78))^(1/3))/3.

Equals (1 + sqrt(78)/9)^(1/3) + (1 - sqrt(78)/9)^(1/3).

Example

1.5213797068045675696040808322544385144283898284279039090904980154281564...

Mathematica

RealDigits[x /. FindRoot[x^3 - x - 2, {x, 2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 18 2023 *)

Prog

(PARI) solve(x=1, 2, x^3 - x - 2) \\ Michel Marcus, Aug 19 2022

Crossrefs

Cf. A289265, A356031.

Sequence in context: A350688 A197383 A348186 * A266455 A091505 A366626

Adjacent sequences: A356027 A356028 A356029 * A356031 A356032 A356033

Keyword

nonn,cons,easy

Author

Wolfdieter Lang, Aug 19 2022

Status

approved