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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy

Examples

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

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).

Crossrefs

Cf. A010548 (decimal expansion).

Cf. A041174/A041175 (convergents).

Programs

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 *)

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