A010213 Continued fraction for sqrt(165).

12, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5, 2, 5, 1, 24, 1, 5

Offset

0,1

Links

Table of n, a(n) for n=0..74.

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for periodic sequences.

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

Mathematica

ContinuedFraction[Sqrt[165], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 25 2011 *)
PadRight[{12}, 120, {24, 1, 5, 2, 5, 1}] (* Harvey P. Dale, Feb 02 2020 *)

Prog

(PARI) a(n)=if(n, [24, 1, 5, 2, 5, 1][n%6+1], 12) \\ Charles R Greathouse IV, May 28 2026

Crossrefs

Cf. A041304/A041305 (convergents), A178592 (decimal expansion).

Sequence in context: A376537 A270004 A040151 * A140378 A085094 A010214

Adjacent sequences: A010210 A010211 A010212 * A010214 A010215 A010216

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved