A178233 Decimal expansion of (11+sqrt(229))/18.

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

Offset

1,2

Comments

Continued fraction expansion of (11+sqrt(229))/18 is A069705.

Links

Table of n, a(n) for n=1..105.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 9*x^2 - 11*x - 3. - Amiram Eldar, Mar 24 2026

Example

1.45181921946786421817732566940783695620693752688066...

Mathematica

RealDigits[(11 + Sqrt[229])/18, 10, 120][[1]] (* Amiram Eldar, Mar 24 2026 *)

Prog

(PARI) (11+sqrt(229))/18 \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A166125 (decimal expansion of sqrt(229)), A069705 (repeat 1, 2, 4).

Sequence in context: A375822 A237109 A199384 * A271356 A201411 A353313

Adjacent sequences: A178230 A178231 A178232 * A178234 A178235 A178236

Keyword

cons,nonn

Author

Klaus Brockhaus, May 23 2010

Status

approved