A176395 Decimal expansion of 3+sqrt(11).

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

Offset

1,1

Comments

Continued fraction expansion of 3+sqrt(11) is A010704 preceded by 6.

a(n) = A010468(n) for n > 1.

Links

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

Index entries for algebraic numbers, degree 2.

Formula

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

Example

6.31662479035539984911493273667068668392708854558935...

Mathematica

RealDigits[3+Sqrt[11], 10, 120][[1]] (* Harvey P. Dale, Oct 28 2011 *)

Crossrefs

Cf. A010468 (decimal expansion of sqrt(11)), A010704 (repeat 3, 6).

Sequence in context: A092151 A365477 A066717 * A309646 A195494 A154969

Adjacent sequences: A176392 A176393 A176394 * A176396 A176397 A176398

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 16 2010

Status

approved