A176016 Decimal expansion of (3+sqrt(15))/6.

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

Offset

1,3

Comments

Continued fraction expansion of (3+sqrt(15))/6 is A010687.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Equals 1/2 + A140246. - R. J. Mathar, Mar 17 2025

Minimal polynomial: 6*x^2 - 6*x - 1. - Amiram Eldar, May 02 2026

Example

1.14549722436790281419654423329706660180548695088193...

Mathematica

RealDigits[(3+Sqrt[15])/6, 10, 120][[1]] (* Harvey P. Dale, May 01 2012 *)

Crossrefs

Cf. A010472 (sqrt(15)), A176020 ((3+sqrt(15))/3), A010687 (repeat 1, 6).

Sequence in context: A106148 A192038 A046577 * A184833 A281385 A279270

Adjacent sequences: A176013 A176014 A176015 * A176017 A176018 A176019

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 06 2010

Status

approved