A176106 Decimal expansion of (21+5*sqrt(21))/14.

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

Offset

1,1

Comments

Continued fraction expansion of (21+5*sqrt(21))/14 is A010705.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 7*x^2 - 21*x - 3. - Amiram Eldar, Apr 26 2026

Example

3.13663417676994285949573114061714588892302020598856...

Mathematica

RealDigits[(21+5*Sqrt[21])/14, 10, 120][[1]] (* Harvey P. Dale, Apr 27 2017 *)

Crossrefs

Cf. A010477 (decimal expansion of sqrt(21)), A010705 (repeat 3, 7).

Sequence in context: A109532 A264584 A137338 * A302867 A058659 A053642

Adjacent sequences: A176103 A176104 A176105 * A176107 A176108 A176109

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 10 2010

Status

approved