A010175 Continued fraction for sqrt(109).

10, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2, 20, 2, 3

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..999

G. Xiao, Contfrac

Index entries for continued fractions for constants

Index entries for periodic sequences.

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

Mathematica

ContinuedFraction[Sqrt[109], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011 *)
PadRight[{10}, 120, {20, 2, 3, 1, 2, 4, 1, 6, 6, 1, 4, 2, 1, 3, 2}] (* Harvey P. Dale, May 29 2016 *)

Prog

(PARI) a(n)=if(n, 6959381132422995758\21^(n%15)%21, 10) \\ Charles R Greathouse IV, May 31 2026

Crossrefs

Sequence in context: A265994 A201278 A232589 * A363839 A323421 A306321

Adjacent sequences: A010172 A010173 A010174 * A010176 A010177 A010178

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved