A010168 Continued fraction for sqrt(97).

9, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1, 18

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 (0,0,0,0,0,0,0,0,0,0,1).

Example

9.848857801796104721746211414... = 9 + 1/(1 + 1/(5 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Jun 12 2009

Mathematica

ContinuedFraction[Sqrt[97], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
PadRight[{9}, 120, {18, 1, 5, 1, 1, 1, 1, 1, 1, 5, 1}] (* Harvey P. Dale, Jun 07 2016 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 15000); x=contfrac(sqrt(97)); for (n=0, 20000, write("b010168.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 12 2009

Crossrefs

Cf. A010548 (decimal expansion).

Cf. A041174/A041175 (convergents).

Sequence in context: A359809 A298512 A192930 * A340004 A327963 A328112

Adjacent sequences: A010165 A010166 A010167 * A010169 A010170 A010171

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved