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
Examples
1.5213797068045675696040808322544385144283898284279039090904980154281564...
Programs
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Mathematica
RealDigits[x /. FindRoot[x^3 - x - 2, {x, 2}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Jun 18 2023 *) -
PARI
solve(x=1, 2, x^3 - x - 2) \\ Michel Marcus, Aug 19 2022
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).