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

Author

N. J. A. Sloane

Keywords

• nonn
• cofr
• easy

Examples

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

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).

Crossrefs

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

Programs

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 *)

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