A010161 Continued fraction for sqrt(89).

9, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1).

Example

9.433981132056603811320660377... = 9 + 1/(2 + 1/(3 + 1/(3 + 1/(2 + ...)))). - Harry J. Smith, Jun 10 2009

Mathematica

ContinuedFraction[Sqrt[89], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
LinearRecurrence[{0, 0, 0, 0, 1}, {9, 2, 3, 3, 2, 18}, 120] (* or *) PadRight[{9}, 120, {18, 2, 3, 3, 2}] (* Harvey P. Dale, Jan 20 2025 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(89)); for (n=0, 20000, write("b010161.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009

Crossrefs

Cf. A010540 Decimal expansion. - Harry J. Smith, Jun 10 2009

Sequence in context: A396737 A199281 A291363 * A222226 A104539 A201559

Adjacent sequences: A010158 A010159 A010160 * A010162 A010163 A010164

Keyword

nonn,cofr

Author

N. J. A. Sloane

Status

approved