A298744 Decimal expansion of (1/2)(1 + sqrt(-3 + 4*sqrt(3))).

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

Offset

1,2

Comments

The positive zero of x^2 - x + 1 - sqrt(3).

Links

Clark Kimberling, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 4.

Formula

Minimal polynomial: x^4 - 2*x^3 + 3*x^2 - 2*x - 2. - Amiram Eldar, May 31 2026

Example

1.4909847665675175723...

Mathematica

r = (1/2)*(1 + Sqrt[-3 + 4 Sqrt[3]]);
RealDigits[N[r, 100], 10][[1]]

Prog

(PARI) (1+sqrt(-3+4*sqrt(3)))/2 \\ Charles R Greathouse IV, May 18 2026

Crossrefs

Cf. A298743, A298745.

Sequence in context: A303984 A336308 A070439 * A272102 A056584 A135245

Adjacent sequences: A298741 A298742 A298743 * A298745 A298746 A298747

Keyword

nonn,easy,cons

Author

Clark Kimberling, Feb 13 2018

Status

approved