A040073 Continued fraction for sqrt(83).

9, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9

Offset

0,1

Links

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

Example

9.1104335791442988819456261... = 9 + 1/(9 + 1/(18 + 1/(9 + 1/(18 + ...)))). - Harry J. Smith, Jun 10 2009

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[83], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)
LinearRecurrence[{0, 1}, {9, 9, 18}, 70] (* or *) PadRight[{9}, 70, {18, 9}] (* Harvey P. Dale, Jan 25 2018 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 45000); x=contfrac(sqrt(83)); for (n=0, 20000, write("b040073.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009

Crossrefs

Cf. A010534 Decimal expansion. - Harry J. Smith, Jun 10 2009

Sequence in context: A168390 A333151 A321659 * A003886 A065999 A168419

Adjacent sequences: A040070 A040071 A040072 * A040074 A040075 A040076

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved