A356030 - OEIS

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

(list; constant; graph; refs; listen; history; text; internal format)

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 *)