A395592 Decimal expansion of the positive real root of x^4 - 3*x^3 - 4*x^2 - 2*x - 1.

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

Offset

1,1

Links

Table of n, a(n) for n=1..87.

Index entries for algebraic numbers, degree 4.

Formula

Equals (3 + sqrt(13) + sqrt(46+14*sqrt(13)))/4. - Amiram Eldar, May 02 2026

Example

4.10696460773475323178462658423551021771725433...

Mathematica

RealDigits[Root[x^4 - 3*x^3 - 4*x^2 - 2*x - 1, 2], 10, 120][[1]] (* Amiram Eldar, May 02 2026 *)

Prog

(PARI) polrootsreal(Pol([1, -3, -4, -2, -1]))[2]

Crossrefs

Sequence in context: A292404 A060196 A204169 * A255331 A296794 A119305

Adjacent sequences: A395589 A395590 A395591 * A395593 A395594 A395596

Keyword

nonn,cons

Author

A.H.M. Smeets, Apr 29 2026

Status

approved