A010161 Continued fraction for sqrt(89).

9, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2, 18, 2, 3, 3, 2

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			9.433981132056603811320660377... = 9 + 1/(2 + 1/(3 + 1/(3 + 1/(2 + ...)))). - _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, 0, 0, 0, 1).

Crossrefs

Cf. A010540 Decimal expansion. - Harry J. Smith, Jun 10 2009

Programs

Mathematica

ContinuedFraction[Sqrt[89],300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
LinearRecurrence[{0,0,0,0,1},{9,2,3,3,2,18},120] (* or *) PadRight[{9},120,{18,2,3,3,2}] (* Harvey P. Dale, Jan 20 2025 *)

PARI

{ allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(89)); for (n=0, 20000, write("b010161.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 10 2009