A358939 Decimal expansion of the real root of x^5 + x^3 - 1.

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

Offset

0,1

Comments

The other (complex) roots are 0.217853219392291296... + 1.16695124566484991...*i and -0.636663106805772389... + 0.664701565064356279...*i, together with their conjugates.

Links

Table of n, a(n) for n=0..75.

Index entries for algebraic numbers, degree 5

Example

0.83761977482696218499752729419180609392505451858960237912530556912378529...

Mathematica

RealDigits[x /. FindRoot[x^5 + x^3 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)

Prog

(PARI) polrootsreal(x^5 + x^3 - 1)[1] \\ Charles R Greathouse IV, Apr 05 2026

Crossrefs

Cf. A160155, A230152, A358940, A358941, A358942.

Sequence in context: A131654 A241243 A382576 * A033990 A388572 A248190

Adjacent sequences: A358936 A358937 A358938 * A358940 A358941 A358942

Keyword

nonn,cons

Author

Wolfdieter Lang, Dec 15 2022

Status

approved