A010235 Continued fraction for sqrt(193).

13, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1, 26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1

Offset

0,1

Links

Table of n, a(n) for n=0..77.

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for periodic sequences.

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

Mathematica

ContinuedFraction[Sqrt[193], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 28 2011 *)
PadRight[{13}, 120, {26, 1, 8, 3, 2, 1, 3, 3, 1, 2, 3, 8, 1}] (* Harvey P. Dale, Nov 16 2022 *)

Prog

(PARI) a(n)=if(n, 195200359409031506\27^(n%13)%27, 13) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Cf. A041358/A041359 (convergents), A177272 (decimal expansion).

Sequence in context: A389368 A202134 A185409 * A393305 A196381 A013570

Adjacent sequences: A010232 A010233 A010234 * A010236 A010237 A010238

Keyword

nonn,cofr,easy,changed

Author

N. J. A. Sloane

Status

approved