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A358940
Decimal expansion of the real root of x^5 - x^3 - 1.
3
1, 2, 3, 6, 5, 0, 5, 7, 0, 3, 3, 9, 1, 4, 9, 9, 0, 2, 4, 3, 3, 7, 5, 7, 4, 8, 0, 0, 9, 7, 6, 1, 4, 6, 7, 8, 2, 6, 8, 1, 0, 4, 2, 9, 4, 3, 5, 4, 6, 1, 1, 4, 9, 6, 7, 7, 6, 6, 1, 7, 3, 8, 4, 1, 7, 0, 7, 2, 6, 1, 4, 3, 5, 6, 1, 8
OFFSET
1,2
COMMENTS
The other (complex) roots are 0.340794866197006415... + 0.785423103049449080...*i and -0.959047717892755927... + 0.428365956254189316...*i, and their conjugates.
EXAMPLE
1.23650570339149902433757480097614678268104294354611496776617384170726143...
MATHEMATICA
RealDigits[x /. FindRoot[x^5 - x^3 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Wolfdieter Lang, Dec 12 2022
STATUS
approved