A176020 Decimal expansion of (3+sqrt(15))/3.

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

Offset

1,1

Comments

Continued fraction expansion of (3+sqrt(15))/3 is A010693.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

a(n) = A020817(n-1) for n > 1; a(1) = 2.

Minimal polynomial: 3*x^2 - 6*x - 2. - Amiram Eldar, Apr 26 2026

Example

2.29099444873580562839308846659413320361097390176386...

Mathematica

RealDigits[(3+Sqrt[15])/3, 10, 120][[1]] (* Harvey P. Dale, May 20 2013 *)

Crossrefs

Cf. A010472 (decimal expansion of sqrt(15)), A176016 (decimal expansion of (3+sqrt(15))/6), A010693 (repeat 2, 3), A020817 (decimal expansion of 1/sqrt(60)).

Sequence in context: A011148 A365307 A351400 * A388080 A048650 A388687

Adjacent sequences: A176017 A176018 A176019 * A176021 A176022 A176023

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 06 2010

Status

approved