A010148 Continued fraction for sqrt(69).

8, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1, 3, 3, 16, 3, 3, 1, 4, 1

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

A. J. van der Poorten, An introduction to continued fractions, Unpublished.

A. J. van der Poorten, An introduction to continued fractions, Unpublished [Cached copy]

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, 1).

Example

8.306623862918074852584262744... = 8 + 1/(3 + 1/(3 + 1/(1 + 1/(4 + ...)))). - Harry J. Smith, Jun 08 2009

Mathematica

ContinuedFraction[Sqrt[69], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)
PadRight[{8}, 120, {16, 3, 3, 1, 4, 1, 3, 3}] (* Harvey P. Dale, Jan 25 2024 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 22000); x=contfrac(sqrt(69)); for (n=0, 20000, write("b010148.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009

Crossrefs

Cf. A010521 Decimal expansion. - Harry J. Smith, Jun 08 2009

Sequence in context: A021986 A197729 A369049 * A246822 A168356 A021016

Adjacent sequences: A010145 A010146 A010147 * A010149 A010150 A010151

Keyword

nonn,cofr

Author

N. J. A. Sloane

Status

approved