A176459 Decimal expansion of (12+2*sqrt(38))/3.

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

Offset

1,1

Comments

Continued fraction expansion of (12+2*sqrt(38))/3 is A010732.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 9*x^2 - 72*x - 8. - Amiram Eldar, Apr 27 2026

Example

8.10960933531265096683346158763616281682374934896304...

Mathematica

RealDigits[(12+2*Sqrt[38])/3, 10, 120][[1]] (* Harvey P. Dale, Aug 10 2020 *)

Prog

(PARI) sqrt(152)/3+4 \\ Charles R Greathouse IV, Apr 07 2020

Crossrefs

Cf. A010492 (decimal expansion of sqrt(38)), A010732 (repeat 8, 9).

Sequence in context: A340065 A011437 A021929 * A248878 A168387 A050466

Adjacent sequences: A176456 A176457 A176458 * A176460 A176461 A176462

Keyword

cons,nonn,less

Author

Klaus Brockhaus, Apr 20 2010

Status

approved