A010221 Continued fraction for sqrt(177).

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

Offset

0,1

Links

Table of n, a(n) for n=0..76.

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, 1).

Mathematica

ContinuedFraction[Sqrt[177], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 26 2011 *)
PadRight[{13}, 120, {26, 3, 3, 2, 8, 2, 3, 3}] (* Harvey P. Dale, Feb 01 2026 *)

Prog

(PARI) a(n)=if(n, 32576312078\27^(n%8)%27, 13) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Sequence in context: A104818 A280009 A117540 * A113172 A386437 A393424

Adjacent sequences: A010218 A010219 A010220 * A010222 A010223 A010224

Keyword

nonn,cofr,easy,changed

Author

N. J. A. Sloane

Status

approved